Still trying to process it

He tried

ummmm an oreo on ice?

I'd drink it.

I'll like an Oreo on ice shaken not stirred. (read in James Bond voice)

I know, I know... Running out of tea can be such a traumatic experience. Hopefully you will have processed it by summer.

Still trying to think of a relevant pun but I just... Can't. /:

Frappe?

I'm really confused now.