refs #14599 - added `OneShotTimer` / moved some `ShowTime` logic out … #19560

Job	Run time
build_cmake (ubuntu:25.10, true, true)	4m 20s
build_cmake (alpine:3.23, false, false)	4m 31s
build_make (ubuntu:24.04)	3m 10s
build_cmake (ubuntu:24.04, true, true)	3m 54s
build_make (alpine:3.23)	5m 56s
build_make (ubuntu:25.10)	4m 11s
	26m 2s

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