It is possible scuba isn't for you, but it is also possible you can get past this and love to dive.
I also had a lot of anxiety with my mask. It took more than just 3 pool sessions to correct that. I barely got through my open water class, and it took me about two years to finally work on the skill enough that now, it is fine.
For me, even though it sounds backwards, I had a much easier time practicing breathing with a regulator in and no mask first, and then practicing removing the mask after it had been on. I found that when I was sitting there with the mask on already, my anxiety put up a blocker to removing the mask, knowing it would make me uncomfortable. That, plus the act of removing the mask often got water up my nose.
If I were in the same position as you, I would do as others suggest of practicing breathing through a snorkel until you are comfortable with the breathing through a tube concept. This should help you be more comfortable breathing through a regulator. Once you are comfortable with that, then practice breathing through a snorkel with no mask on. Once you are comfortable with that, kneel in the shallow end of the pool (with your instructor, this is probably an activity he would do during private lessons) with your regulator in and your mask on. Once you are comfortable just breathing, then put your face in the water with the regulator in and mask off and get used to breathing with it off. Be in shallow enough water that you don't need to flail around to get your head out of the water, but just need to lift it slightly to get it out. I recommend tilting your head very slightly to the side when you don't have the mask on. The bubbles from the regulator will hit your nose and water may go up your nose. Tilting will prevent that. Only once you are comfortable with all those steps would I have you start with a mask on, then flood/take it off.
This sounds like it is slow and may take some time, but that is okay! If you start rushing through (like a lot of OW classes are), you start putting new skills on top of skills you aren't yet comfortable with, making the entire situation worse. Getting your certification is not a race, and your instructor seems to be willing to take the extra time and effort to do the private sessions you will need. Maybe it won't be for you. Or, maybe one day the skills will just click for you and be okay.
I also had a lot of anxiety with my mask. It took more than just 3 pool sessions to correct that. I barely got through my open water class, and it took me about two years to finally work on the skill enough that now, it is fine.
For me, even though it sounds backwards, I had a much easier time practicing breathing with a regulator in and no mask first, and then practicing removing the mask after it had been on. I found that when I was sitting there with the mask on already, my anxiety put up a blocker to removing the mask, knowing it would make me uncomfortable. That, plus the act of removing the mask often got water up my nose.
If I were in the same position as you, I would do as others suggest of practicing breathing through a snorkel until you are comfortable with the breathing through a tube concept. This should help you be more comfortable breathing through a regulator. Once you are comfortable with that, then practice breathing through a snorkel with no mask on. Once you are comfortable with that, kneel in the shallow end of the pool (with your instructor, this is probably an activity he would do during private lessons) with your regulator in and your mask on. Once you are comfortable just breathing, then put your face in the water with the regulator in and mask off and get used to breathing with it off. Be in shallow enough water that you don't need to flail around to get your head out of the water, but just need to lift it slightly to get it out. I recommend tilting your head very slightly to the side when you don't have the mask on. The bubbles from the regulator will hit your nose and water may go up your nose. Tilting will prevent that. Only once you are comfortable with all those steps would I have you start with a mask on, then flood/take it off.
This sounds like it is slow and may take some time, but that is okay! If you start rushing through (like a lot of OW classes are), you start putting new skills on top of skills you aren't yet comfortable with, making the entire situation worse. Getting your certification is not a race, and your instructor seems to be willing to take the extra time and effort to do the private sessions you will need. Maybe it won't be for you. Or, maybe one day the skills will just click for you and be okay.