fix(metrics): emit queued_duration metric in execution API ti_run endpoint

[YoannAbriel]

In Airflow 3, tasks transition from QUEUED to RUNNING via the execution API (ti_run endpoint), not the legacy TaskInstance._run_raw_task path. The task.queued_duration metric (dag.{dag_id}.{task_id}.queued_duration in legacy format) is only emitted in the old path via emit_state_change_metric(), so it's never recorded for tasks started through the task SDK.

This adds the metric emission to ti_run() — selects queued_dttm, end_date, and queue from the TI row and calls DualStatsManager.timing() after the state update. Same first-attempt guard as the original (skips when end_date is set).

Closes: #63503

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Was generative AI tooling used to co-author this PR?

• Yes — Claude Code (Opus 4, claude-opus-4-6)

Generated-by: Claude Code (Opus 4, claude-opus-4-6) following the guidelines

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• Read the Pull Request Guidelines for more information. Note: commit author/co-author name and email in commits become permanently public when merged.
• For fundamental code changes, an Airflow Improvement Proposal (AIP) is needed.

[potiuk]

@YoannAbriel This PR has been converted to draft because it does not yet meet our Pull Request quality criteria.

Issues found:

• ❌ Other failing CI checks: Failing: Postgres tests: core / DB-core:Postgres:14:3.10:API...Serialization, MySQL tests: core / DB-core:MySQL:8.0:3.10:API...Serialization, Sqlite tests: core / DB-core:Sqlite:3.10:API...Serialization, Special tests / Min SQLAlchemy test: core / DB-core:MinSQLAlchemy-Postgres:14:3.10:API...Serialization, Special tests / Latest SQLAlchemy test: core / DB-core:LatestSQLAlchemy-Postgres:14:3.10:API...Serialization (+3 more). Run prek run --from-ref main locally to reproduce. See static checks docs.

Note: Your branch is 1 commit behind main. Some check failures may be caused by changes in the base branch rather than by your PR. Please rebase your branch and push again to get up-to-date CI results.

What to do next:

• The comment informs you what you need to do.
• Fix each issue, then mark the PR as "Ready for review" in the GitHub UI - but only after making sure that all the issues are fixed.
• Maintainers will then proceed with a normal review.

Converting a PR to draft is not a rejection — it is an invitation to bring the PR up to the project's standards so that maintainer review time is spent productively. If you have questions, feel free to ask on the Airflow Slack.

[potiuk]

@YoannAbriel This PR has been converted to draft because it does not yet meet our Pull Request quality criteria.

Issues found:

• ❌ Other failing CI checks: Failing: Postgres tests: core / DB-core:Postgres:14:3.10:API...Serialization, MySQL tests: core / DB-core:MySQL:8.0:3.10:API...Serialization, Sqlite tests: core / DB-core:Sqlite:3.10:API...Serialization, Special tests / Min SQLAlchemy test: core / DB-core:MinSQLAlchemy-Postgres:14:3.10:API...Serialization, Special tests / Latest SQLAlchemy test: core / DB-core:LatestSQLAlchemy-Postgres:14:3.10:API...Serialization (+2 more). Run prek run --from-ref main locally to reproduce. See static checks docs.

Note: Your branch is 11 commits behind main. Some check failures may be caused by changes in the base branch rather than by your PR. Please rebase your branch and push again to get up-to-date CI results.

What to do next:

• The comment informs you what you need to do.
• Fix each issue, then mark the PR as "Ready for review" in the GitHub UI - but only after making sure that all the issues are fixed.
• There is no rush — take your time and work at your own pace. We appreciate your contribution and are happy to wait for updates.
• Maintainers will then proceed with a normal review.

Converting a PR to draft is not a rejection — it is an invitation to bring the PR up to the project's standards so that maintainer review time is spent productively. There is no rush — take your time and work at your own pace. We appreciate your contribution and are happy to wait for updates. If you have questions, feel free to ask on the Airflow Slack.