ci: Update actions for queue merge validation (#11114)

## Summary

PR merge queue was enabled but actions were not updated to trigger on
`merge_group`:

https://docs.github.com/en/repositories/configuring-branches-and-merges-in-your-repository/configuring-pull-request-merges/managing-a-merge-queue#triggering-merge-group-checks-with-github-actions

## Changes

- **What**: 
- `.github/actions/lint-format-verify/action.yml` extrated shared Verify
lint and format steps
- `.github/workflows/ci-lint-format.yaml` updated to use shared
composite action
- `.github/workflows/ci-lint-format-queue.yaml` new action that triggers
on merge_group to validate format
- `.github/workflows/ci-tests-e2e.yaml` triggers on merge_group
- `.github/workflows/ci-tests-unit.yaml` triggers on merge_group

## Review Focus

<!-- Critical design decisions or edge cases that need attention -->

<!-- If this PR fixes an issue, uncomment and update the line below -->
<!-- Fixes #ISSUE_NUMBER -->

## Screenshots (if applicable)

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┆Issue is synchronized with this [Notion
page](https://www.notion.so/PR-11114-ci-Update-actions-for-queue-merge-validation-33e6d73d3650815f8c88f40736b513ec)
by [Unito](https://www.unito.io)

.github/workflows/ci-tests-e2e.yaml

@@ -8,6 +8,7 @@ on:
   pull_request:
     branches-ignore: [wip/*, draft/*, temp/*]
     paths-ignore: ['**/*.md']
+  merge_group:
   workflow_dispatch:
 
 concurrency: