Good morning, I went through the same thing after purchasing my 2022 model 3. Because FSD is still in Beta, you have to apply for the beta, get somewhere between 98-100 on your safety score (this should be easy using advanced autopilot frequently) and then wait until they push the beta out to new users. Mine took somewhere between two weeks and a month before I received my FSD. Your experience will inevitably vary.
Good luck!