Rework some form components for reuse. #30974

Job	Run time
build-client / build-client	10m 10s
setup-selenium / setup_chromedriver	4s
Test (3.8, 0)	39m 6s
Test (3.8, 1)	49m 6s
Test (3.8, 2)	46m 14s
	2h 24m 40s

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