[clang] [clang-tools-extra] Handle recording inheritance for templates (PR #177273)

[Nathan Ridge via cfe-commits]

HighCommander4 wrote:

> I just hope git won't screw me over at the merge later though because I have to leave those changes in for this PR for its tests to function.

In situations like these, I've used [stacked PRs](https://llvm.org/docs//GitHub.html#stacked-pull-requests). (I used the first workflow option described there.)

https://github.com/llvm/llvm-project/pull/177273