R shiny app with bigquery deploying on google cloud run

I developed a shiny app that reads and writes data from and to google bigquery. Locally, this works without any problems.
-On the google cloud project I generated a service account json key
-Shiny authenticates with the json key
-the data can be fetched and written with the bigrquery package

However, I tried to dockerize the simple app and deploy it on google cloud run, which I didn't manage to do. Does someone has experience with that how to dockerize this bigquery-shiny connection?
Many thanks!