[Feature Request] Enable Auto-merge for Specific Branch (e.g., main)

[andrewring]

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A common practice to keep PRs small is to create a chain of PRs, such as

PR1: main <- branch_foo
PR2: branch_foo <- branch_bar
PR3: branch_bar <- branch_baz

Merging a base branch, such as PR1 will already update PR2 such that it now is main <- branch_bar.

Auto-merge makes it much easier to send a small PR off for review, and have it manage itself if there are no changes requested. This doesn't support the chain above, however. Ideally, I would love to be able to enable automerge for a specific final target branch. In this case, it would be main. So here when PR1 merges, and PR2 updates it's base branch to main, it would activate auto-merge. This would allow a chain of send and forget PRs (assuming approval without changes requested, of course).

This would ideally fall out of #4477.