- physical restore to new cluster
- pg_upgrade the new cluster
- catch up on logical wal logs from old cluster
- failover to new cluster
- STONITH
I think the above was not open to them because of the limitations of their managed PG instance. I haven't used Azure but GCP managed SQL has loads of limitations. It seems very common and I think is a major (and undiscussed) drawback of these managed instance.
But the truth is that very few of the people who use PG want to hear that things are better in the MS SQL community for reasons of prejudice and as a result you're being downvoted unfairly for pointing out PGs relative backwardness here.