CI: Add clangd-tidy hook for pre-commit

[Repiteo]

• Related CI: Implement clangd-tidy as GitHub Action #117654

Implements clangd-tidy as a proper pre-commit hook, making the tool more readily accessible for all users. This required reworking the pre-commit action into our own implementation, which is arguably for the best as that action has been unsupported for years now & is the main source of false-positive warnings in CI output

However: despite being fully-functional, I'm hesitant to implement this as-is. As there's no way to enforce compile_commands.json, nor is there a reliable way to exclude platform-specific files, the hook stage is still "manual". To make this into a readily-accessible hook, I believe that we'd have to either make upstream changes to clangd-tidy or produce our own wrapper script to achieve our desired results. Having said that, I'm setting this up as-is in order to verify that the pre-commit action functions as expected, which will get a dedicated PR if so

[StarryWorm]

I personally like this approach of implementing our own customizable pre-commit action.

Regarding the clangd-tidy changes required to make this work, what are you thinking of?
I could put a fork together that has what we want (including --fix)
_{Ownership would be passed to Godot once ready}

[StarryWorm]

Would it be possible for our now hand-made pre-commit action to run scons compiledb_gen_only to update the compiledb forcefully, thus enabling this stage as automatic?

[Repiteo]

I like where your head's at, but it's unfortunately unsuitable for a pre-commit hook because of how long that takes even in isolation. What we might be able to do is a wrapper script which either skips or fails the hook if that file isn't present... Will play around with that today