[clang-tools-extra] Follow style configuration in clangd when inserting missing includes (PR #140594)

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Harald-R wrote:

@HighCommander4 thank you for the background! To me it sounds like going back to matching against the spelling makes sense. I can submit a patch later today if that's okay with @kadircet as well. Otherwise, this PR could be reverted and I can resubmit it later without the spelling check.

https://github.com/llvm/llvm-project/pull/140594