`supabase db push` to local docker deployment

Hi, I just updated the supabase CLI (in a docker container, not dev) from 0.36.0 to a newer version (1.11.2).
In the old version I executed supabase db remote set "..." to save the connection string of my docker-deployed database and then supabase db push to execute all migrations on the database.
This all happened inside a docker container with the only purpose to run migrations.

However the commands have changed (to be expected in such a huge version jump) but I cannot find a possibility to set a local database as the target for
db push
... I looked at the source code of the CLI and it seems the only way to set the database is with supabase link but that only works with supabase-hosted projects. Is this now vendor lock-in, work in progress or am I missing something?
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