Timescale and Google Cloud Service SQL

Hi, i’m quite new to timescale i was looking for a way to have a TimescaleDB in the Google Cloud (EU-West region). I saw that it is possible to use some kind of managed timescale service, but my ideal goal would be that i use the google cloud sql service (Cloud SQL overview  |  Cloud SQL Documentation  |  Google Cloud) in which i can create a postgresql instance.

Has anybody then tried to “install” the timescale extension or is it even possible?

Thank you in advance for your responses