[clang] [clang] Trim large(-ish) includes from common headers (PR #216946)

[Chandler Carruth via cfe-commits]

chandlerc wrote:

> Still fails to build in c-t-t: [llvm-compile-time-tracker.com/show_error.php?commit=6ce9490a40bda551c02254190c6c166250ca4b32](https://llvm-compile-time-tracker.com/show_error.php?commit=6ce9490a40bda551c02254190c6c166250ca4b32)

Yeah, I hadn't replied because I wanted to get back to debugging this. I think fixed in the latest version, but definitely want to see the bot numbers here.

https://github.com/llvm/llvm-project/pull/216946