Migrate workflows from deprecated `set-output` commands #1305

Job	Run time
run-determination	4s
check-errors (./)	33s
check-style (./)	21s
check-errors (docsgen)	37s
check-config (./)	20s
check-style (docsgen)	15s
check-formatting (./)	20s
check-config (docsgen)	24s
check-style (ruledocsgen)	17s
check-formatting (docsgen)	14s
check-config (ruledocsgen)	23s
check-errors (ruledocsgen)	36s
check-formatting (ruledocsgen)	13s
check-outdated (./)	13s
check-outdated (docsgen)	19s
check-outdated (ruledocsgen)	15s
	5m 24s

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