I often cook a typical frozen pizza like this
in a typical mini-oven like this
I go with a nominal 420° indicated on the small over for 13 minutes. ("12-14 mins" suggested on the packaging.) TBC I very simply sit the naked pizza on the metal wires of the mini oven (no stone, foil, or anything else).
The results are perfectly fine for a frozen pizza, and the readiness/crispiness of the pizza is about right and how I want it.
I like egg on top of pizza, so, quite simply,
I take the pizza from the freezer, then I crack three fresh eggs and just dollop them on top of the pizza, and then put the pizza in the oven.
This is all great BUT, quite simply, cooking eggs that way appears to need more than 13 minutes. Call it more like 20. (Even if you like them REALLY runny on your pizza, they're just not ready after 13 with the procedure I describe.)
What if anything is the solution here, experts?!
Something I tried: it seemed kind of bizarre but I broke the three eggs just in to a low Pyrex bowl and *.. put just that bowl of eggs in the mini oven for oh four or five minutes. I then took that out, and poured the now slightly-cooked-ish (or at least "warm" ??) three eggs on the pizza, and then went ahead with the 13 minutes. This did seem to work to some extent, but it seems all wrong! Or maybe not, IDK.
What's the expert solution?
(*) I don't know why, when you have eggs on a pizza from a pizza parlor, it comes out great - maybe the temperature is massively higher or? IDK.
FWIW ...
{FTR I tried poking the yolks a bit with a pointy knife and spreading the yolk/white around a little; my idea here was that might help the eggs cook quicker? (A) I'd prefer to not do this (B) I don't know if that should make them cook more quickly (C) It really appears to make no difference, they don't seem to me to cook more quickly if you do that.}