formula: change some private API to public API #31161

Job	Run time
syntax	41s
formula audit	4m 27s
cask audit	2m 25s
tap syntax	8m 19s
test default formula (Ubuntu 22.04)	1m 25s
test default formula (Ubuntu 20.04)	3m 4s
tests (online)	5m 5s
test default formula (macOS 13 x86_64)	4m 48s
update-test (Ubuntu)	22s
tests (generic OS)	2m 50s
test default formula (macOS 15 arm64)	1m 19s
vendored gems	45s
update-test (macOS)	29s
tests (Ubuntu 24.04)	2m 57s
tests (Ubuntu 22.04)	3m 4s
tests (Ubuntu 20.04)	4m 15s
tests (macOS 13 x86_64)	8m 41s
tests (macOS 15 arm64)	4m 41s
	59m 37s

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