This reapplies ddbcc10b9e26b18f6a70e23d0611b9da75ffa52f, except for a tiny part that was reverted separately: 65331da0032ab4253a4bc0ddcb2da67664bd86a9. That will be reapplied later on, since it turned out to be more involved.
This commit is enabled by 5523fefb01c282c4cbcaf6314a9aaf658c6c145f and f0f548a65a215c450d956dbcedb03656449705b9, specifically the part that makes 'clang-tidy/checkers/misc/header-include-cycle.cpp' separator agnostic.