refs #4452 - transfer timer results in `ProcessExecutor` #19652

Job	Run time
build_cmake (alpine:3.23, false, false)	3m 58s
build_cmake (ubuntu:24.04, true, true)	5m 33s
build_make (alpine:3.23)	34m 37s
build_make (ubuntu:24.04)	45m 29s
build_make (ubuntu:25.10)	44m 25s
build_cmake (ubuntu:25.10, true, true)	4m 22s
	2h 18m 24s

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