[release] fix: correctly set tag during publish (#79548)
### Why?
The `process.env.RELEASE_TYPE` handling was set incorrectly. It
should've been set to the "trigger" workflow, but instead, it was set to
the "publish" workflow. Therefore, the "publish" workflow needs to know
which dist tag to set for publish.
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Co-authored-by: Sebastian Sebbie Silbermann <sebastian.silbermann@vercel.com>
