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refs #14579 / refs #10543 - fixed compilation on Alpine Linux / added checks for includes / added Alpine to CI #18999

Job	Run time
build_make (ubuntu:24.04)	3m 10s
build_make (ubuntu:25.10)	4m 8s
build_make (alpine:3.23)	6m 17s
build_cmake (alpine:3.23, false, false)	4m 34s
build_cmake (ubuntu:25.10, true, true)	5m 45s
build_cmake (ubuntu:24.04, true, true)	5m 26s
	29m 20s