Google Meet Permanent Room Setup

At least for bit.ly, the URL associated with the short link can't be changed. It's a security feature because, otherwise, someone with bad intentions could theoretically take over an account and replace all short URLs with malicious destinations.

From Bit.ly FAQ:

Can I edit/change my bitly link? What if I email you and ask nicely?

bitly links cannot be edited. They also do not expire and cannot be changed, so they will always redirect to the site for which they were originally created. It's always a good idea to check that your long URL and/or custom name are correct before creating, sharing, or printing your bitly links.

Yes, but not using Meet and the natural language processing it provides directly.
Even if you record a meeting, captions are not recorded and don't appear when you play the recording.

What you can do is record the meeting, download that recording, and then use some third party app to create a full transcript from that video. For example, you could upload to youtube, and then see the transcript based off of their processing.

There is also a chrome extension called Tactiq that can save a full meeting transcription. However, the processing Tactiq uses is not the same one Meet uses.