Excellent discussion about a very difficult problem.

Some comments:

If you have testicular pain since the mesh removal, you may wish to see how you do with spermatic cord blocks. Sometimes the mesh invades the little nerve plexus around the vas and removing the mesh leaves behind the damaged microscopic nerves. There is a treatment for it. It starts with a diagnostic cord block.

Any pain that radiates below the knee can be related to your spine. Get that worked up. You may have had an underlying disc or something to start with, and the positioning from the robot made it worse. That should also be treatable.

The cyst you are reporting over the testicle may be a fluid collection or hydrocele. I need more information to help you figure out that one.