APPROVED_LIST_HASH is moved to a separate file, making tests compilation faster after changing it.
The error message prints the hash in a way that it can be directly copy-pasted (though it still needs clang-format).

Yellow squiggly lines begone!
Done automatically on .cpp files through `run-clang-tidy`, with manual corrections to the mistakes.
If an import is directly used, but is technically unnecessary since it's recursively imported by something else, it is *not* removed.
The tool doesn't touch .h files, so I did some of them by hand while fixing errors due to old recursive imports.
Not everything is removed, but the cleanup should be substantial enough.
Because this done on Linux, code that isn't used on it is mostly untouched.
(Hopefully no open PR is depending on these imports...)

This fixes a build error when `-DENABLE_TESTS=ON` and `-DUSE_RETRO_ACHIEVEMENTS=OFF` are both set together, since AchievementManager is also behind an ifdef.

Refactors the PatchAllowlistTest to streamline the experience for developers. Instead of a textual description of what needs to change in ApprovedInis.json for RetroAchievements compatibility, the test will now generate a replacement file and instruct the coder where to copy it in their local branch, and what to update APPROVED_LIST_HASH to. The result should be easier and more instructive for developers to make changes, while still maintaining that allowed codes cannot be added or modified without recompiling Dolphin.

As ApprovedInis.json no longer needs to be user-readable for this process, it no longer contains titles or pretty formatting and as such is updated in this commit, hash included.

New code adds a test failure if there's a Patches/Gecko/AR_Retroachievements_Verified code that doesn't appear to actually exist in the file. This will catch if the allowed patch is formatted wrong, which I found happening several times already due to not realizing that the patch author's name would need to be omitted.

This unit test compares ApprovedInis.json with the contents of the GameSettings folder to verify that every patch marked allowed for use with RetroAchievements has a hash in ApprovedInis.json. If not, that hash is reported in the test logs so that the hash may be updated more easily.