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Use gitoxide for `get_branches_info` #9401

Job	Run time
build-linux-musl (nightly)	10m 45s
build-linux-musl (stable)	4m 49s
Changelog Test	9s
build (macos-latest, nightly)	12m 1s
Test Homebrew Formula (macOS)	3m 52s
build (macos-latest, stable)	4m 7s
build (ubuntu-latest, 1.81)	2m 22s
build (ubuntu-latest, nightly)	8m 16s
build-linux-musl (1.81)	6m 4s
build (macos-latest, 1.81)	3m 8s
build (windows-latest, nightly)	21m 29s
build (windows-latest, stable)	4m 23s
build (windows-latest, 1.81)	4m 38s
build-linux-arm (1.81)	6m 23s
build-linux-arm (stable)	5m 56s
build (ubuntu-latest, stable)	2m 4s
build-linux-arm (nightly)	19m 16s
udeps	2m 26s
Lints	42s
build-apple-x86 (1.81)	2m 12s
build-apple-x86 (nightly)	7m 54s
build-apple-x86 (stable)	6m 17s
	2h 19m 13s