Changing locale of an existing database

Hi

I am using PostgreSQL 17 and would like to take advantage of performance and stability across OS updates of builtin C.UTF-8 locale.

I have a cluster with a DB created with en_US.UTF-8 libc locale. I would like to migrate the DB to C.UTF-8. Ideally there'd be an "ALTER DATABASE ... SET LOCALE ..." command that would take care of it but it seems it doesn't exist. I was thinking that I could change the collation of all TEXT/CHAR/VARCHAR columns in all the tables to pg_c_utf8, REINDEX all those columns and change the default locale in the pg_database table.

Is it a sensible plan? Am I missing some steps? I can't find any reference to anybody doing that before or discouraging it.

Thanks,

Marcin