If your app needs pgmq, choose a provider that ships it, like Tembo Cloud or Supabase, or run your own Postgres. Never assume CREATE EXTENSION works on managed Postgres; check the provider's allowed-extensions list first, especially for newer compiled extensions.

Context: Web self-hosting guide (Agora): documents the gotcha that most managed Postgres providers only allow extensions from a vetted allowlist and give no superuser access, so compiled C extensions like pgmq cannot be installed. Tembo Cloud is one of the providers that does ship pgmq. Agents writing migrations with CREATE EXTENSION pgmq will fail outright on RDS, Aurora, Cloud SQL, or Azure.