Your numbers are low, so you fall in the category of early detection = many options. Definitely do your research and self-education and put focus into biochemical recurrence. Generally speaking, at least one prostate cell (or already cancerous prostate cell) remained in your body and it is slowly growing and shedding the antigen to give these PSA results. With this new found knowledge, you will be much better equipped to make an informed decision as to whether you need a new doctor, but in general you will need a health team.

Depending on the pathology from your surgery, Gleason score, decipher test, and genetic testing, that will create a solid foundation for next steps. Usually next steps would lean into imaging (bone/mri/ct), and while a PSMA PET scan will certainly give you the best input, your insurance may require a sequential approach. Some online videos of PSMA PET scan indicate doctors like to wait until the PSA is higher so that the test has more of a marker to find.

The cancer cells could be in the prostate bed area, it could have spread to one or a few regions elsewhere. You are in an excellent position to go the route of education, advocate, and make a decision, remember, you are at the point of many options, and the most important option is to live life to the fullest.

Sending all good thoughts.