New formula internal json v3 dependencies format #27235

Job	Run time
syntax	1m 16s
formula audit	6m 17s
vendored gems	35s
cask audit	2m 33s
docker	4m 18s
tap syntax	8m 26s
test default formula (Ubuntu 22.04)	4m 11s
test default formula (Ubuntu 20.04)	5m 46s
tests (online)	8m 9s
test default formula (macOS 13 x86_64)	2m 32s
update-test (Ubuntu 22.04)	1m 3s
tests (generic OS)	5m 45s
test default formula (macOS 14 arm64)	1m 16s
tests (Ubuntu 22.04)	5m 31s
update-test (macOS 13)	1m 3s
tests (Ubuntu 20.04)	6m 19s
tests (macOS 13 x86_64)	6m 6s
tests (macOS 14 arm64)	6m 45s
	1h 17m 51s

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