Update TiProxy to v1.3.3 (#23905)

[ti-chi-bot]

This is an automated cherry-pick of #23905

What is changed, added, or deleted? (Required)

v1.3.3 was released.

• Add some configs.
• Add some grafana panels.
• Update the default balance factor order.
• Update the recommanded version to v1.3.3.

Which TiDB version(s) do your changes apply to? (Required)

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• master (the latest development version)
• v9.0 (TiDB 9.0 versions)
• v8.5 (TiDB 8.5 versions)
• v8.1 (TiDB 8.1 versions)
• v7.5 (TiDB 7.5 versions)
• v7.1 (TiDB 7.1 versions)
• v6.5 (TiDB 6.5 versions)

What is the related PR or file link(s)?

• Related code change PR links (if applicable):
• This PR is translated from: Update TiProxy to v1.3.3 docs-cn#21940
• Other reference link(s):

AI agent involvement

• The changes in this PR were primarily made by an AI agent on behalf of the PR author.

Do your changes match any of the following descriptions?

• Delete files
• Change aliases
• Need modification after applied to another branch
• Might cause conflicts after applied to another branch

Summary by CodeRabbit

• Documentation
  • Added TiProxy v1.3.3 configuration guidance for backend failover, memory-based connection protection, routing and load-balancing policies, and high-availability GARP behavior.
  • Documented the Grafana Connection Lifetime metric, including average and P99 values.
  • Updated load-balancing policy priorities and clarified status- and connection-count-based behavior.
  • Updated configuration examples to use TiProxy v1.3.3.

[ti-chi-bot]

@qiancai This PR has conflicts, I have hold it.
Please resolve them or ask others to resolve them, then comment /unhold to remove the hold label.

[ti-chi-bot]

@ti-chi-bot: ## If you want to know how to resolve it, please read the guide in TiDB Dev Guide.

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• tiproxy/tiproxy-configuration.md

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• tiproxy/tiproxy-configuration.md

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📝 Walkthrough

Walkthrough

The PR updates TiProxy v1.3.3 documentation. It adds configuration references, revises load-balancing behavior, documents a Grafana metric, and updates example versions.

Changes

TiProxy v1.3.3 documentation

Layer / File(s)	Summary
Configuration reference updates tiproxy/tiproxy-configuration.md	Documents backend failover, memory thresholds, routing policies, load-balancing settings, and HA GARP behavior.
Load-balancing behavior documentation tiproxy/tiproxy-load-balance.md	Updates policy priorities, status checks, connection-count configuration, and links to balance settings.
Monitoring and version examples tiproxy/tiproxy-grafana.md, tiproxy/tiproxy-overview.md	Adds the Connection Lifetime metric and changes TiProxy example versions from v1.3.2 to v1.3.3.

Priority: ⬇️ Low

Estimated code review effort: 1 (Trivial) | ~5 minutes

Change: Other

Suggested reviewers: qiancai

🚥 Pre-merge checks | ✅ 5

✅ Passed checks (5 passed)

Check name	Status	Explanation
Title check	✅ Passed	The title clearly identifies the primary change: updating TiProxy to v1.3.3. It is concise and specific.
Description check	✅ Passed	The description includes the required change summary, affected TiDB versions, related PR link, AI involvement, and change-category checklist. It is sufficiently complete for this documentation update.
Docstring Coverage	✅ Passed	No functions found in the changed files to evaluate docstring coverage. Skipping docstring coverage check. Docstring coverage is scoped to functions touched by this diff. Analyzed 0 functions across 0…
Linked Issues check	✅ Passed	Check skipped because no linked issues were found for this pull request.
Out of Scope Changes check	✅ Passed	Check skipped because no linked issues were found for this pull request.

✨ Finishing Touches

🧪 Generate unit tests (beta)

• Create a new PR

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Actionable comments posted: 1

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📒 Files selected for processing (4)

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• tiproxy/tiproxy-grafana.md
• tiproxy/tiproxy-load-balance.md
• tiproxy/tiproxy-overview.md

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@djshow832: adding LGTM is restricted to approvers and reviewers in OWNERS files.

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[qiancai]

/approve

[qiancai]

/approve

[ti-chi-bot]

[APPROVALNOTIFIER] This PR is APPROVED

This pull-request has been approved by: qiancai

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[ti-chi-bot]

In response to a cherrypick label: new pull request created to branch master: #23916.
But this PR has conflicts, please resolve them!