Add type information for FakeProcessGroup

[lw]

Stack from ghstack (oldest at bottom):

• -> Add type information for FakeProcessGroup #133211

cc @XilunWu @H-Huang @awgu @kwen2501 @wanchaol @fegin @fduwjj @wz337 @wconstab @d4l3k @c-p-i-o

[pytorch-bot]

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🧪 See artifacts and rendered test results at hud.pytorch.org/pr/133211

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As of commit aa9c39c with merge base af682f3 ():
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[github-actions]

Looks like this PR hasn't been updated in a while so we're going to go ahead and mark this as Stale.
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[kwen2501]

@pytorchbot merge -r

[pytorchmergebot]

@pytorchbot started a rebase job onto refs/remotes/origin/viable/strict. Check the current status here

[pytorchmergebot]

Successfully rebased gh/lw/4/orig onto refs/remotes/origin/viable/strict, please pull locally before adding more changes (for example, via ghstack checkout https://github.com/pytorch/pytorch/pull/133211)

[pytorchmergebot]

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