`:doc`: support `__functor` #11972

Job	Run time
Check Cachix and Docker secrets present for installer tests	1s
vm_tests	17m 22s
tests (ubuntu-latest)	29m 41s
tests (macos-latest)	52m 13s
flake_regressions	24m 9s
docker_push_image	0s
installer	0s
installer_test	0s
	2h 3m 26s

Provide feedback