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Use gitoxide for `get_branches_info` #9382

Job	Run time
build-linux-arm (1.81)	6m 24s
build-linux-arm (nightly)	6m 13s
build-linux-arm (stable)	5m 44s
build-linux-musl (nightly)	3m 29s
build-linux-musl (1.81)	3m 55s
build (macos-latest, nightly)	3m 45s
build (ubuntu-latest, stable)	6m 39s
build (ubuntu-latest, 1.81)	2m 31s
build-linux-musl (stable)	3m 53s
build (ubuntu-latest, nightly)	1m 59s
build (macos-latest, stable)	4m 16s
build (macos-latest, 1.81)	4m 29s
build (windows-latest, stable)	4m 29s
build-apple-x86 (stable)	2m 34s
build-apple-x86 (1.81)	2m 48s
build (windows-latest, nightly)	4m 39s
Test Homebrew Formula (macOS)	57s
build (windows-latest, 1.81)	5m 10s
Lints	1m 20s
udeps	2m 18s
Changelog Test	5s
build-apple-x86 (nightly)	2m 31s
	1h 20m 8s