Make CircleCI run shallow clones of the React Native repo

[throwaway-fishery]

This PR tries to fix the CI considering three use cases:

• CI running on main
• CI running on a branch in the React Native repo
• CI running on a PR opened from a fork

Changelog

[General][Fixed] - Fix shallow cloning break on main.

Introduced in #34438
Failed to fix in #34453

Differential Revision: D38859731

[facebook-github-bot]

This pull request was exported from Phabricator. Differential Revision: D38859731

[analysis-bot]

Platform	Engine	Arch	Size (bytes)	Diff
ios	-	universal	n/a	--

Base commit: 4eec473
Branch: main

[analysis-bot]

Platform	Engine	Arch	Size (bytes)	Diff
android	hermes	arm64-v8a	7,615,166	+310
android	hermes	armeabi-v7a	7,030,150	+365
android	hermes	x86	7,915,638	+49
android	hermes	x86_64	7,889,604	+294
android	jsc	arm64-v8a	9,494,197	+412
android	jsc	armeabi-v7a	8,272,050	+389
android	jsc	x86	9,432,261	+380
android	jsc	x86_64	10,025,334	+417

Base commit: 4eec473
Branch: main

[react-native-bot]

This pull request was successfully merged by @throwaway-fishery in e142de0.

^{When will my fix make it into a release? | Upcoming Releases}