Hahah okay but what if we put a cake foundation under the cookie dough cake (and between each layer), is it a cake now with cookie dough filling? The cookie dough has in this case also become something else than a cookie; a cake filling?

Well, that's where I agree with you as for my main argument about the tortilla pizza.

I can't agree that cookie dough is a cookie though, which a commenter stated earlier.

So if we take uncooked cookie dough and layer it I couldn't call it a cookie in the form of a cake; it's fundamental to cook the dough before it's a cookie

What if you put several layers to it? And topping, cookies rarely have toppings right?

But is cookie dough really a cookie? And what happens if you bake a cake with the cookie dough? Is it a cake? How long has it been a cake and not a cookie?

I agree though that you don't have to heat a pizza to call it a pizza. You could, for example, put pizza topping on a tortilla and argue that it's a pizza without heating it