reasoning extraction only happens at end of stream

**LocalAI version:**
localai/localai:v4.1.3-gpu-vulkan

**Environment, CPU architecture, OS, and Version:**
Intel i7 pure CPU, container on Linux NixOS

**Describe the bug**
When streaming a Responses API response, the thinking monologue shows up as message to user (type: message), and only gets moved to a reasoning output item (type: reasoning) when the stream completes.

**To Reproduce**
```console
$ curl -N http://localhost:11435/v1/responses \
    -H "Content-Type: application/json" \
    -d '{
      "model": "qwen3-0.6b",
      "input": "hello",
      "stream": true
    }'
event: response.created
data: {"type":"response.created","sequence_number":0,"response":{"id":"resp_036a28c3-a59e-4c50-a415-4f59d18c3b8f","object":"response","created_at":1777915958,"completed_at":null,"status":"in_progress","model":"qwen3-0.6b","output":[],"error":null,"incomplete_details":null,"previous_response_id":null,"instructions":null,"tools":[],"tool_choice":"none","parallel_tool_calls":true,"max_tool_calls":null,"temperature":1,"top_p":1,"presence_penalty":0,"frequency_penalty":0,"top_logprobs":0,"max_output_tokens":null,"text":{"format":{"type":"text"}},"truncation":"auto","reasoning":null,"usage":null,"metadata":{},"store":true,"background":false,"service_tier":"default","safety_identifier":null,"prompt_cache_key":null}}

event: response.in_progress
data: {"type":"response.in_progress","sequence_number":1,"response":{"id":"resp_036a28c3-a59e-4c50-a415-4f59d18c3b8f","object":"response","created_at":1777915958,"completed_at":null,"status":"in_progress","model":"qwen3-0.6b","output":[],"error":null,"incomplete_details":null,"previous_response_id":null,"instructions":null,"tools":[],"tool_choice":"none","parallel_tool_calls":true,"max_tool_calls":null,"temperature":1,"top_p":1,"presence_penalty":0,"frequency_penalty":0,"top_logprobs":0,"max_output_tokens":null,"text":{"format":{"type":"text"}},"truncation":"auto","reasoning":null,"usage":null,"metadata":{},"store":true,"background":false,"service_tier":"default","safety_identifier":null,"prompt_cache_key":null}}

event: response.output_item.added
data: {"type":"response.output_item.added","sequence_number":2,"output_index":0,"item":{"type":"message","id":"msg_16619cec-f4f3-4fca-91d1-1a4a1e18b85e","status":"in_progress","role":"assistant","content":[],"arguments":"","summary":[]}}

event: response.content_part.added
data: {"type":"response.content_part.added","sequence_number":3,"output_index":0,"content_index":0,"item_id":"msg_16619cec-f4f3-4fca-91d1-1a4a1e18b85e","part":{"type":"output_text","text":"","annotations":[],"logprobs":[]}}

event: response.output_text.delta
data: {"type":"response.output_text.delta","sequence_number":4,"output_index":0,"content_index":0,"item_id":"msg_16619cec-f4f3-4fca-91d1-1a4a1e18b85e","delta":"\u003cthink\u003e","logprobs":[]}

event: response.output_text.delta
data: {"type":"response.output_text.delta","sequence_number":5,"output_index":0,"content_index":0,"item_id":"msg_16619cec-f4f3-4fca-91d1-1a4a1e18b85e","delta":"\u003cthink\u003e","logprobs":[]}

event: response.output_text.delta
data: {"type":"response.output_text.delta","sequence_number":6,"output_index":0,"content_index":0,"item_id":"msg_16619cec-f4f3-4fca-91d1-1a4a1e18b85e","delta":"\n","logprobs":[]}

event: response.output_item.added
data: {"type":"response.output_item.added","sequence_number":7,"output_index":1,"item":{"type":"reasoning","id":"reasoning_f25cb933-7c9b-46d1-9587-2f14fa1d2133","status":"in_progress","arguments":"","summary":[]}}

event: response.content_part.added
data: {"type":"response.content_part.added","sequence_number":8,"output_index":1,"content_index":0,"item_id":"reasoning_f25cb933-7c9b-46d1-9587-2f14fa1d2133","part":{"type":"output_text","text":"","annotations":[],"logprobs":[]}}

event: response.output_text.delta
data: {"type":"response.output_text.delta","sequence_number":9,"output_index":1,"content_index":0,"item_id":"msg_16619cec-f4f3-4fca-91d1-1a4a1e18b85e","delta":"okay","logprobs":[]}

event: response.output_text.delta
data: {"type":"response.output_text.delta","sequence_number":10,"output_index":1,"content_index":0,"item_id":"msg_16619cec-f4f3-4fca-91d1-1a4a1e18b85e","delta":",","logprobs":[]}

event: response.output_text.delta
data: {"type":"response.output_text.delta","sequence_number":11,"output_index":1,"content_index":0,"item_id":"msg_16619cec-f4f3-4fca-91d1-1a4a1e18b85e","delta":" the","logprobs":[]}

event: response.output_text.delta
data: {"type":"response.output_text.delta","sequence_number":12,"output_index":1,"content_index":0,"item_id":"msg_16619cec-f4f3-4fca-91d1-1a4a1e18b85e","delta":" user","logprobs":[]}

event: response.output_text.delta
data: {"type":"response.output_text.delta","sequence_number":13,"output_index":1,"content_index":0,"item_id":"msg_16619cec-f4f3-4fca-91d1-1a4a1e18b85e","delta":" just","logprobs":[]}

event: response.output_text.delta
data: {"type":"response.output_text.delta","sequence_number":14,"output_index":1,"content_index":0,"item_id":"msg_16619cec-f4f3-4fca-91d1-1a4a1e18b85e","delta":" said","logprobs":[]}

event: response.output_text.delta
data: {"type":"response.output_text.delta","sequence_number":15,"output_index":1,"content_index":0,"item_id":"msg_16619cec-f4f3-4fca-91d1-1a4a1e18b85e","delta":" hello","logprobs":[]}

event: response.output_text.delta
data: {"type":"response.output_text.delta","sequence_number":16,"output_index":1,"content_index":0,"item_id":"msg_16619cec-f4f3-4fca-91d1-1a4a1e18b85e","delta":".","logprobs":[]}

event: response.output_text.delta
data: {"type":"response.output_text.delta","sequence_number":17,"output_index":1,"content_index":0,"item_id":"msg_16619cec-f4f3-4fca-91d1-1a4a1e18b85e","delta":" I","logprobs":[]}

event: response.output_text.delta
data: {"type":"response.output_text.delta","sequence_number":18,"output_index":1,"content_index":0,"item_id":"msg_16619cec-f4f3-4fca-91d1-1a4a1e18b85e","delta":" need","logprobs":[]}

event: response.output_text.delta
data: {"type":"response.output_text.delta","sequence_number":19,"output_index":1,"content_index":0,"item_id":"msg_16619cec-f4f3-4fca-91d1-1a4a1e18b85e","delta":" to","logprobs":[]}

event: response.output_text.delta
data: {"type":"response.output_text.delta","sequence_number":20,"output_index":1,"content_index":0,"item_id":"msg_16619cec-f4f3-4fca-91d1-1a4a1e18b85e","delta":" respond","logprobs":[]}

event: response.output_text.delta
data: {"type":"response.output_text.delta","sequence_number":21,"output_index":1,"content_index":0,"item_id":"msg_16619cec-f4f3-4fca-91d1-1a4a1e18b85e","delta":" appropriately","logprobs":[]}

event: response.output_text.delta
data: {"type":"response.output_text.delta","sequence_number":22,"output_index":1,"content_index":0,"item_id":"msg_16619cec-f4f3-4fca-91d1-1a4a1e18b85e","delta":".","logprobs":[]}

event: response.output_text.delta
data: {"type":"response.output_text.delta","sequence_number":23,"output_index":1,"content_index":0,"item_id":"msg_16619cec-f4f3-4fca-91d1-1a4a1e18b85e","delta":" Let","logprobs":[]}

event: response.output_text.delta
data: {"type":"response.output_text.delta","sequence_number":24,"output_index":1,"content_index":0,"item_id":"msg_16619cec-f4f3-4fca-91d1-1a4a1e18b85e","delta":" me","logprobs":[]}

event: response.output_text.delta
data: {"type":"response.output_text.delta","sequence_number":25,"output_index":1,"content_index":0,"item_id":"msg_16619cec-f4f3-4fca-91d1-1a4a1e18b85e","delta":" make","logprobs":[]}

event: response.output_text.delta
data: {"type":"response.output_text.delta","sequence_number":26,"output_index":1,"content_index":0,"item_id":"msg_16619cec-f4f3-4fca-91d1-1a4a1e18b85e","delta":" sure","logprobs":[]}

event: response.output_text.delta
data: {"type":"response.output_text.delta","sequence_number":27,"output_index":1,"content_index":0,"item_id":"msg_16619cec-f4f3-4fca-91d1-1a4a1e18b85e","delta":" I","logprobs":[]}

event: response.output_text.delta
data: {"type":"response.output_text.delta","sequence_number":28,"output_index":1,"content_index":0,"item_id":"msg_16619cec-f4f3-4fca-91d1-1a4a1e18b85e","delta":"'m","logprobs":[]}

event: response.output_text.delta
data: {"type":"response.output_text.delta","sequence_number":29,"output_index":1,"content_index":0,"item_id":"msg_16619cec-f4f3-4fca-91d1-1a4a1e18b85e","delta":" not","logprobs":[]}

event: response.output_text.delta
data: {"type":"response.output_text.delta","sequence_number":30,"output_index":1,"content_index":0,"item_id":"msg_16619cec-f4f3-4fca-91d1-1a4a1e18b85e","delta":" making","logprobs":[]}

event: response.output_text.delta
data: {"type":"response.output_text.delta","sequence_number":31,"output_index":1,"content_index":0,"item_id":"msg_16619cec-f4f3-4fca-91d1-1a4a1e18b85e","delta":" up","logprobs":[]}

event: response.output_text.delta
data: {"type":"response.output_text.delta","sequence_number":32,"output_index":1,"content_index":0,"item_id":"msg_16619cec-f4f3-4fca-91d1-1a4a1e18b85e","delta":" anything","logprobs":[]}

event: response.output_text.delta
data: {"type":"response.output_text.delta","sequence_number":33,"output_index":1,"content_index":0,"item_id":"msg_16619cec-f4f3-4fca-91d1-1a4a1e18b85e","delta":".","logprobs":[]}

event: response.output_text.delta
data: {"type":"response.output_text.delta","sequence_number":34,"output_index":1,"content_index":0,"item_id":"msg_16619cec-f4f3-4fca-91d1-1a4a1e18b85e","delta":" They","logprobs":[]}

event: response.output_text.delta
data: {"type":"response.output_text.delta","sequence_number":35,"output_index":1,"content_index":0,"item_id":"msg_16619cec-f4f3-4fca-91d1-1a4a1e18b85e","delta":" might","logprobs":[]}

event: response.output_text.delta
data: {"type":"response.output_text.delta","sequence_number":36,"output_index":1,"content_index":0,"item_id":"msg_16619cec-f4f3-4fca-91d1-1a4a1e18b85e","delta":" just","logprobs":[]}

event: response.output_text.delta
data: {"type":"response.output_text.delta","sequence_number":37,"output_index":1,"content_index":0,"item_id":"msg_16619cec-f4f3-4fca-91d1-1a4a1e18b85e","delta":" be","logprobs":[]}

event: response.output_text.delta
data: {"type":"response.output_text.delta","sequence_number":38,"output_index":1,"content_index":0,"item_id":"msg_16619cec-f4f3-4fca-91d1-1a4a1e18b85e","delta":" testing","logprobs":[]}

event: response.output_text.delta
data: {"type":"response.output_text.delta","sequence_number":39,"output_index":1,"content_index":0,"item_id":"msg_16619cec-f4f3-4fca-91d1-1a4a1e18b85e","delta":" or","logprobs":[]}

event: response.output_text.delta
data: {"type":"response.output_text.delta","sequence_number":40,"output_index":1,"content_index":0,"item_id":"msg_16619cec-f4f3-4fca-91d1-1a4a1e18b85e","delta":" trying","logprobs":[]}

event: response.output_text.delta
data: {"type":"response.output_text.delta","sequence_number":41,"output_index":1,"content_index":0,"item_id":"msg_16619cec-f4f3-4fca-91d1-1a4a1e18b85e","delta":" to","logprobs":[]}

event: response.output_text.delta
data: {"type":"response.output_text.delta","sequence_number":42,"output_index":1,"content_index":0,"item_id":"msg_16619cec-f4f3-4fca-91d1-1a4a1e18b85e","delta":" interact","logprobs":[]}

event: response.output_text.delta
data: {"type":"response.output_text.delta","sequence_number":43,"output_index":1,"content_index":0,"item_id":"msg_16619cec-f4f3-4fca-91d1-1a4a1e18b85e","delta":".","logprobs":[]}

event: response.output_text.delta
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event: response.output_text.delta
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event: response.output_text.delta
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event: response.output_text.delta
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event: response.output_text.delta
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event: response.output_text.delta
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event: response.output_text.delta
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event: response.output_text.delta
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event: response.output_text.delta
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event: response.output_text.delta
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event: response.output_text.delta
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event: response.output_text.delta
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event: response.output_text.delta
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event: response.output_text.delta
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event: response.output_text.delta
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event: response.output_text.delta
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event: response.output_text.delta
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event: response.output_text.delta
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event: response.output_text.delta
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event: response.output_text.delta
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event: response.output_text.delta
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event: response.output_text.delta
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event: response.output_text.delta
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event: response.output_text.delta
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event: response.output_text.delta
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event: response.output_text.delta
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event: response.output_text.delta
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event: response.output_text.delta
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event: response.output_text.delta
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event: response.output_text.delta
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event: response.output_text.delta
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event: response.output_text.delta
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event: response.output_text.delta
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event: response.output_text.delta
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event: response.output_text.delta
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event: response.output_text.delta
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event: response.output_text.delta
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event: response.output_text.delta
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event: response.output_text.delta
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event: response.output_text.delta
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event: response.output_text.delta
data: {"type":"response.output_text.delta","sequence_number":84,"output_index":1,"content_index":0,"item_id":"msg_16619cec-f4f3-4fca-91d1-1a4a1e18b85e","delta":" I","logprobs":[]}

event: response.output_text.delta
data: {"type":"response.output_text.delta","sequence_number":85,"output_index":1,"content_index":0,"item_id":"msg_16619cec-f4f3-4fca-91d1-1a4a1e18b85e","delta":" help","logprobs":[]}

event: response.output_text.delta
data: {"type":"response.output_text.delta","sequence_number":86,"output_index":1,"content_index":0,"item_id":"msg_16619cec-f4f3-4fca-91d1-1a4a1e18b85e","delta":" you","logprobs":[]}

event: response.output_text.delta
data: {"type":"response.output_text.delta","sequence_number":87,"output_index":1,"content_index":0,"item_id":"msg_16619cec-f4f3-4fca-91d1-1a4a1e18b85e","delta":" today","logprobs":[]}

event: response.output_text.delta
data: {"type":"response.output_text.delta","sequence_number":88,"output_index":1,"content_index":0,"item_id":"msg_16619cec-f4f3-4fca-91d1-1a4a1e18b85e","delta":"?","logprobs":[]}

event: response.output_text.delta
data: {"type":"response.output_text.delta","sequence_number":89,"output_index":1,"content_index":0,"item_id":"msg_16619cec-f4f3-4fca-91d1-1a4a1e18b85e","delta":" 😊","logprobs":[]}

event: response.output_text.done
data: {"type":"response.output_text.done","sequence_number":90,"output_index":1,"content_index":0,"item_id":"reasoning_f25cb933-7c9b-46d1-9587-2f14fa1d2133","text":"okay, the user just said hello. I need to respond appropriately. Let me make sure I'm not making up anything. They might just be testing or trying to interact. I should keep it friendly and open-ended. Maybe say something like \"Hello! How can I help you today?\" to encourage further conversation. Keep it simple and natural.","logprobs":[]}

event: response.content_part.done
data: {"type":"response.content_part.done","sequence_number":91,"output_index":1,"content_index":0,"item_id":"reasoning_f25cb933-7c9b-46d1-9587-2f14fa1d2133","part":{"type":"output_text","text":"okay, the user just said hello. I need to respond appropriately. Let me make sure I'm not making up anything. They might just be testing or trying to interact. I should keep it friendly and open-ended. Maybe say something like \"Hello! How can I help you today?\" to encourage further conversation. Keep it simple and natural.","annotations":[],"logprobs":[]}}

event: response.output_item.done
data: {"type":"response.output_item.done","sequence_number":92,"output_index":1,"item":{"type":"reasoning","id":"reasoning_f25cb933-7c9b-46d1-9587-2f14fa1d2133","status":"completed","content":[{"type":"output_text","text":"okay, the user just said hello. I need to respond appropriately. Let me make sure I'm not making up anything. They might just be testing or trying to interact. I should keep it friendly and open-ended. Maybe say something like \"Hello! How can I help you today?\" to encourage further conversation. Keep it simple and natural.","annotations":[],"logprobs":[]}],"arguments":"","summary":[]}}

event: response.output_text.done
data: {"type":"response.output_text.done","sequence_number":93,"output_index":1,"content_index":0,"item_id":"msg_16619cec-f4f3-4fca-91d1-1a4a1e18b85e","text":"\n\nHello! How can I help you today? 😊","logprobs":[]}

event: response.content_part.done
data: {"type":"response.content_part.done","sequence_number":94,"output_index":1,"content_index":0,"item_id":"msg_16619cec-f4f3-4fca-91d1-1a4a1e18b85e","part":{"type":"output_text","text":"\n\nHello! How can I help you today? 😊","annotations":[],"logprobs":[]}}

event: response.output_item.done
data: {"type":"response.output_item.done","sequence_number":95,"output_index":1,"item":{"type":"message","id":"msg_16619cec-f4f3-4fca-91d1-1a4a1e18b85e","status":"completed","role":"assistant","content":[{"type":"output_text","text":"\n\nHello! How can I help you today? 😊","annotations":[],"logprobs":[]}],"arguments":"","summary":[]}}

event: response.completed
data: {"type":"response.completed","sequence_number":96,"response":{"id":"resp_036a28c3-a59e-4c50-a415-4f59d18c3b8f","object":"response","created_at":1777915958,"completed_at":1777915960,"status":"completed","model":"qwen3-0.6b","output":[{"type":"reasoning","id":"reasoning_f25cb933-7c9b-46d1-9587-2f14fa1d2133","status":"completed","content":[{"type":"output_text","text":"okay, the user just said hello. I need to respond appropriately. Let me make sure I'm not making up anything. They might just be testing or trying to interact. I should keep it friendly and open-ended. Maybe say something like \"Hello! How can I help you today?\" to encourage further conversation. Keep it simple and natural.","annotations":[],"logprobs":[]}],"arguments":"","summary":[]}],"error":null,"incomplete_details":null,"previous_response_id":null,"instructions":null,"tools":[],"tool_choice":"none","parallel_tool_calls":true,"max_tool_calls":null,"temperature":1,"top_p":1,"presence_penalty":0,"frequency_penalty":0,"top_logprobs":0,"max_output_tokens":null,"text":{"format":{"type":"text"}},"truncation":"auto","reasoning":null,"usage":{"input_tokens":0,"output_tokens":0,"total_tokens":0,"input_tokens_details":{"cached_tokens":0},"output_tokens_details":{"reasoning_tokens":81}},"metadata":{},"store":true,"background":false,"service_tier":"default","safety_identifier":null,"prompt_cache_key":null}}

data: [DONE]
```

**Expected behavior**

This message, and the following until the :

```
event: response.output_text.delta
data: {"type":"response.output_text.delta","sequence_number":9,"output_index":1,"content_index":0,"item_id":"msg_16619cec-f4f3-4fca-91d1-1a4a1e18b85e","delta":"okay","logprobs":[]}
```

should have gone to the `reasoning_f25cb933-7c9b-46d1-9587-2f14fa1d2133` output item in the first place.

Now that part only happens once the whole response completes (not even at end of reasoning):

```
event: response.output_text.delta
data: {"type":"response.output_text.delta","sequence_number":89,"output_index":1,"content_index":0,"item_id":"msg_16619cec-f4f3-4fca-91d1-1a4a1e18b85e","delta":" 😊","logprobs":[]}

event: response.output_text.done
data: {"type":"response.output_text.done","sequence_number":90,"output_index":1,"content_index":0,"item_id":"reasoning_f25cb933-7c9b-46d1-9587-2f14fa1d2133","text":"okay, the user just said hello. I need to respond appropriately. Let me make sure I'm not making up anything. They might just be testing or trying to interact. I should keep it friendly and open-ended. Maybe say something like \"Hello! How can I help you today?\" to encourage further conversation. Keep it simple and natural.","logprobs":[]}
```


**Logs**


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reasoning extraction only happens at end of stream #9658

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