I've recently added my Tesco credit card/Clubcard to Google Pay.

When I'm using my physical card (in a pub for example) my understanding that a contactless payment will automatically add Clubcard points to my purchase.

Is this correct? and if so, does the same thing happen with a Google pay contactless payment?

All I can find in the FAQs is this:
"If you’re using Google Pay in a Tesco Store, tap your physical Tesco Bank Credit Card before you pay to benefit from Clubcard Prices and collect your Clubcard Points".

But that doesn't cover purchases outside of a Tesco store, or online.