Maybe Actemra (tocilizumab) or Kevzara (sarilumab) would be helpful. I was recently diagnosed with gout ... not pseudo gout. I was diagnosed with PMR a long time ago in 2007. I was treated with prednisone until 2019 when Actemra finally allowed me to taper off prednisone in 2020. I have stayed off Prednisone ever since.

Gout was diagnosed last year in 2024 but my uric acid level was found to be elevated a few years prior to that' I passed a kidney stone composed of 80% uric acid so that was what prompted my uric acid level to be checked. An abdominal CT-scan showed numerous other kidney stones scattered throughout both kidneys in 2021.

I denied having symptoms of gout when the kidney stones were found. I would have attributed any pain caused by gout to PMR. Prednisone is a treatment for gout so it might have relieved some symptoms of gout.

Gout was confirmed by an ultrasound. The ultrasound showed rather large gout tophi in the joints of my big toe. My rheumatologist thought it was surprising that I never had a gout flare. I wasn't sure that I would know if I ever had a gout flare. I was already diagnosed with reactive arthritis in addition to PMR. I might have been unaware of gout pain.
https://my.clevelandclinic.org/health/symptoms/gout-tophi-tophus
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The brain has limits to how much pain that can be processed. The presence of multiple painful conditions like PMR and reactive arthritis involves significant joint inflammation and pain. Everything combined might have been difficult for me to isolate the symptoms of one condition from the others.

Gout is something new to me. What makes gout intriguing is how it is also associated with elevated IL-6 levels just like PMR, It is thought that IL-6 inhibitors might be an appropriate treatment for PMR and gout. Because IL-6 is central to the inflammation in both conditions, researchers have explored IL-6 inhibitors as a therapeutic approach.
https://www.sciencedirect.com/science/article/pii/S1297319X25000971