Add infrastructure repo to synced repo list

[AetherUnbound]

Description

This PR adds our (private) infrastructure repo to the list of repositories where our common files are synced. I've also corrected the location of the infrastructure repo's ping action to reflect the repository migration.

Testing Instructions

Guess we'll see! 😅

Checklist

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[krysal]

This includes the infrastructure repo in the release drafter, I think we're not ready to include it yet (?) Not sure. CC @zackkrida

[zackkrida]

I think including it would be fine!

[AetherUnbound]

Agreed! In fact, I think that'd be desirable 😄

[krysal]

Looks like this can be part of the Backend repositories! 😃

[zackkrida]

👍 Yes, we can 🗑️ the entire # Automattic repositories section.

[AetherUnbound]

On it!