[libclc] Revert "[libclc][NFC] Change include style from <...> to "..."" (PR #185888)

[Romaric Jodin via cfe-commits]

rjodinchr wrote:

`clspv` is also impacted by that change, please cc me when you have a patch, so that I can test it as well.
Thank you

https://github.com/llvm/llvm-project/pull/185888