Fix botocore endpoint resolution by preserving top-level data files

[nubtron]

• Add "!botocore/data/*.json" to files_to_remove.toml so that endpoints.json, partitions.json, _retry.json etc. are retained in built wheels. These files are required by botocore for AWS endpoint resolution and retry handling.
• Add builder_changed input to workflow_dispatch so the builder image can be rebuilt from any branch without a push trigger.
• Pass INPUT_BUILDER_CHANGED to resolve_deps_check_should_run.sh.
• Add branch to publish job workflow_dispatch allowlist.
• Remove Publish image and Save new image digest steps — image is built and used locally, no need to push to ghcr.io.
• Set base on bot PR to target this branch, not master.

What does this PR do?

Motivation

Review checklist (to be filled by reviewers)

• Feature or bugfix MUST have appropriate tests (unit, integration, e2e)
• Add the qa/skip-qa label if the PR doesn't need to be tested during QA.
• If you need to backport this PR to another branch, you can add the backport/<branch-name> label to the PR and it will automatically open a backport PR once this one is merged