Greetings @Sega2 , I did some digging and here is what I found.
Your screenshot (thanks for sharing, it was helpful) is showing a user running a Postgres CREATE TABLE statement in the Lakebase SQL Editor and hitting this error:
In Lakebase, there are currently two separate permission layers at play.
Databricks project permissions such as CAN USE and CAN MANAGE control access to project resources and UI capabilities, including things like branches, computes, and the SQL Editor itself.
Postgres permissions control what the user can actually do inside the database, such as creating tables in a schema.
So, having CAN MANAGE on the project does not automatically grant CREATE privileges on the public schema. The error shown here is coming from Postgres because the role being used in the SQL Editor does not have the required schema-level privileges.
To resolve it, the project owner or database admin should grant the needed access, for example:
GRANT CONNECT ON DATABASE your_db TO "your_user_or_group";
GRANT USAGE, CREATE ON SCHEMA public TO "your_user_or_group";
Once those grants are in place, the CREATE TABLE statement should run successfully from the Lakebase SQL Editor.
This aligns with how Lakebase is designed today, where project permissions and in-database Postgres permissions are managed separately.
Hope this helps, Louis.