Welcome to the forum. My rheumatologist would say you have a complicated set of conditions. I bet you have a lot of information to share.
-------------------------------------------------------------------
Let's see if I get this right ...

Rinvoq and Methotrexate for RA ---- Prednisone for PMR ---Duloxetine and Lyrica for neuropathic pain.

How many TNF inhibitors have you tried??
--------------------------------------------------------------------
Along with Reactive arthritis, uveitis, and PMR--- I was also diagnosed with trigeminal neuralgia. I'm familiar with nerve pain. Somehow I developed peripheral neuropathy too but mine was called idiopathic.

What works for one thing doesn't work well for the other thing. That was the problem I had except Prednisone worked "reasonably well" for everything if my dose was high enough.

Humira didn't work for PMR but it should have worked for reactive arthritis and uveitis.

Everything changed after I had several surgeries. I was then switched to Actemra (tocilizumab) and was able to discontinue Prednisone along with almost all my other medications that were primarily treating Prednisone side effects. It still took me more than a year to taper off prednisone because of adrenal insufficiency caused by long term Prednisone use.

Actemra (tocilizumab) is an IL-6 inhibitor --- the FDA approved it first for RA and later for other conditions and GCA a few years ago.

Kevzara (sarilumab) is also an IL-6 inhibitor --- also FDA approved for RA and recently approved for PMR