I was referring to attack and fighter aircraft that are directly involved
So yes, Iran have one F-15 and one A10 on their tally.
Total US Military Aircraft (All Types): Over 13,000 airframes across all service branches. Only 53 destroyed or damaged in two months? That's air superiority .
In 1943 USAF B-17 crews sent over Germany had a 75% chance of being killed or captured, with an average life expectancy of only 11 missions. The USAAF lost more than 8,000 heavy bombers in Europe. That is what you call not flying freely over enemy airspace.
Only attack and fighter aircraft?

Still more than 2.
US Centcom admit to many more than this, David. Read the list from US Centcom. Additionally they have lost all of their airbases in Iraq and many others in the region including Al Udeid damaged/destroyed/evacuated. Their refuelling fleet and planes have been pushed much further back and their carriers daren't come within a few hundred kilometres of Iran's coast. We know that a F15 ventured in, got shot down and then those losses were compounded on whatever the shitshow of an operation the so called rescue was. The two MC-130's, several helicopters admitted by US. And they haven't been back since, funny that don't you think, David. The A10 that you belatedly admit to but with the caveat that, "it is only deployed after full air dominance has been established". Where in Iran was this A10 deployed, David? It was hit "near the strait of Hormuz" and managed to get into Kuwait where it crashed after the pilot bailed. It wasn't flying over Iran, "after full air dominance had been established". Trump's raging but empty threats are testament to this. The actual circumstances of the A10 shoot down do not suggest the air dominance that you are claiming, in fact it demonstrates the opposite.
Iran are humiliating the US, David. The international standing of the US is in freefall and won't recover. Their bases in the Middle East are unlikely to be rebuilt because they have proved worthless. The US cannot protect its own bases, never mind the countries hosting them. The US clearly are incapable of offering the protection they claim to their Arab satraps. The fifth fleet base in Bahrain has also proven to be as useful as the US airbases in offering protection to their "hosts".
Your pathetic attempts to claim US air superiority and supposed victories against Iran fly in the face of publicly available facts.