[bemanification] Run beman-tidy on beman.take_before

[neatudarius]

Run beman-tidy on target Beman library with default mode (check example in bemanproject/optional#210).

Links:

• The Beman Standard
• beman-tidy -> How to Integrate beman-tidy pre-commit Hook in Your Library

Goal: Run beman-tidy with default mode.

• 1. Add beman-tidy (default mode - requirements only) to target library - follow How to Integrate beman-tidy pre-commit.
• 2. Report findings in a comment on this issue.
• 3. Open a PR for each check which needs to be fixed in target library. Get review and merge the PRs.
• 4. Open a PR to enable beman-tidy in default mode on main in target library.

Follow-up goal: Attempt to run beman-tidy with --require-all mode.

• Make sure you have beman-tidy with default mode enabled in main.
• Tag/ask in this issue all codeowners (check .github/CODEOWNERS) if they would like to also commit for --require-all mode. Present the list of required checks currently failing.
• Get approval from owners to continue.
• Apply changes following previous steps 2 + 3 + 4.

[neatudarius]

CI green on main after enabling the tool in default mode

• https://github.com/bemanproject/take_before/actions/runs/24934590912
• https://github.com/bemanproject/take_before/actions/runs/24934590897

[neatudarius]

Let's implement left overs - @AndreiDurlea , can you help?

We can keep release.godbolt_trunk_version as last thing to do.

[neatudarius]

Actually, I can do this.