[All] Introduce integration schemes #373

Job	Run time
filter_build	32s
build-on / sh-ubuntu_gcc_release	17m 28s
build-on / display-inputs	3s
build-on / sh-macos_clang_release	24m 15s
build-on / sh-fedora_clang_release	35m 51s
	1h 18m 9s

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