The shot doesn't put covid into anyone. It makes your body produce antibodies to the spike protein that is unique to covid.
I had covid in November and the first shot in March. That shot almost landed me in the hospital. Under my doctor's supervision, we delayed the second shot until august. I had a minimal reaction to that since my body was (apparently) already/still revved up.
My wife's doctor is actually doing it right. Wife had covid in november as well, mild case but with still-lingering after effects. Her doctor is monitoring her actual antibody levels. They remain high, so doc says the vaccine is not needed. When her antibody levels start to decline, that's when she'll need the vax.
So many preach about natural immunity negating the need for the vax, and that is a valid consideration. But very very few are actually monitoring that immunity level. You have to monitor it since it's different for different people. Some lose immunity quicker than others and it takes actual monitoring to know what's going on with YOU.
Personally, I'd get an antibody count before taking the booster.