CI: remove separate check-build-tools-image workflow

[bayandin]

Problem

We call check-build-tools-image twice for each workflow whenever we use it, along with build-build-tools-image, once as a workflow itself, and the second time from build-build-tools-image. This is not necessary.

Summary of changes

• Inline check-build-tools-image into build-build-tools-image
• Remove separate check-build-tools-image workflow

Checklist before requesting a review

• I have performed a self-review of my code.
• If it is a core feature, I have added thorough tests.
• Do we need to implement analytics? if so did you add the relevant metrics to the dashboard?
• If this PR requires public announcement, mark it with /release-notes label and add several sentences in this section.

Checklist before merging

• Do not forget to reformat commit message to not include the above checklist

[github-actions]

5435 tests run: 5199 passed, 0 failed, 236 skipped (full report)

---

Flaky tests (1)

Postgres 17

• test_unavailability: debug-x86-64

Code coverage* (full report)

• functions: 31.8% (7892 of 24837 functions)
• lines: 49.4% (62455 of 126362 lines)

* collected from Rust tests only

---

_{The comment gets automatically updated with the latest test results
a59dca0 at 2024-11-14T20:34:04.355Z :recycle:}