Om Prakash Gupta •,
As documented - Extensions - Azure Database for PostgreSQL - Flexible Server | Microsoft Learn –“ Third party extensions offered in Azure Database for PostgreSQL - Flexible Server are open source licensed code. Currently, we don't offer any third party extensions or extension versions with premium or proprietary licensing models.”
As far as capabilities available in Timescale under different licensing customer should be looking at their docs at - Timescale Documentation | Compare TimescaleDB editions it should show differences between Apache OSS Licensed edition we use vs their licensed “Community” edition.
Hope this helps. Please let us know if further queries.