Allow core tools to release from `release/*` branches

Today the release branch that core tools uses is `release_4.0`. We want to align with the branching strategy that the host uses today.
From a teams conversation with @Francisco-Gamino:

> For in-proc, we should use `release/in-proc/`, such as `release/in-proc/4.37`, and for out-of-proc, we should use `release/out-of-proc/`, such as `release/out-of-proc/4.1037`.

This would require updating the pipelines to trigger the pipelines/mirroring when pushing to a `release/*` branch.