Hope everything goes well for you!!
I went through something very similar, so just a positive thought. My son's food kept coming up, he was on formula and got tested. The little flap thing wasn't closing like it should, so they had to do what you said. And they had to wait it out to see if it would get strong enough on its own to start closing and thankfully it did. So he didn't require surgery. He is almost 4 years old now and doing perfectly well. Baby is in my prayers, and stay positive mama. Everything will work out.
What they did to also help was change his formula to a sensitive kind and that helped as well. Forgot to mention that. Lol
Thanks guys! He got food today, he was a little happier.