How to sync iCloud and Google calendar subscriptions?

Google calendar automatically syncs with iCloud calendar just find whenever I make a new event in iCloud, but it doesn’t add any new subscriptions I’ve made. In the google calendars app, it doesn’t show to option to add a new subscriptions other than my home and work one

I want add my NHS cooking club and Raiderbotics subscriptions onto my google calendar, as well as any new subscriptions made automatically in the future