Hey,
Correct me if I’m wrong here;
But listening to a few 'absolute beginners' lessons i remember them saying that, its more natural speaking to drop watashi (I’m guessing anata too) when both parties already acknowledges the conversation is between them.
I’ve had a few Japanese tell me, you only really need to use it once..
As a native English speaker, it’s still hard for me to wrap it around my head also, but i do get it, as its kinda redundant..
Again, i could totally be wrong here
*Edit; Type-o