I can tell you first hand that it won't work.
Both myself and the wife have tried psilocybin, and it did absolutely nothing as we are both on relatively high doses of anti-depressants.
If you look at any of the documentaries (and the paper that Hat has supplied), you will see that any of the participants had to ween off their anti-depressants before they took part.
It is a promising means of recovering, but there are two methods;
1) A full dose (one-off) that is said to "reset" the brain from its re-wiring of serotonin and so forth, or
2) microdosing, which is an alternative to anti-depressants, which is taken daily until it is not needed any more.
Occasionally, the first option requires a second or third dose to complete the exercise, but this will be done under medical supervision. So the only option to you, unless you find someone to undertake the larger doses, is the microdosing. But you absolutely MUST stop your existing medication because it simply will not work.
It is not just me saying this. I foolishly didn't look into it enough before starting. Fortunately, there are no harmful effects, but it is psilocybin of anti-depressants.
Mixing them simply will not work.
IUN