Port remaining commands to use AbstractCommand #26615

Job	Run time
syntax	44s
vendored gems	38s
cask audit	6m 0s
tap syntax	4m 47s
formula audit	6m 26s
docker	4m 20s
tests (online)	7m 49s
test default formula (Ubuntu 22.04)	4m 14s
tests (generic OS)	5m 26s
update-test (Ubuntu 22.04)	1m 0s
test default formula (Ubuntu 20.04)	5m 52s
tests (Ubuntu 22.04)	5m 41s
update-test (macOS 13)	1m 5s
test default formula (macOS 13 x86_64)	2m 29s
tests (Ubuntu 20.04)	6m 21s
test default formula (macOS 14 arm64)	1m 16s
tests (macOS 13 x86_64)	8m 31s
tests (macOS 14 arm64)	6m 36s
	1h 19m 15s

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