The aim of this clinical trial is to determine if baricitinib is effective in treating calcium pyrophosphate deposition disease (CPPD) in adults. The primary objective is to assess its impact on joint inflammation. The key questions the study seeks to answer are:
* Can baricitinib reduce inflammation in affected joints?
* Will baricitinib lead to changes in ultrasound findings, such as calcium crystal deposition and synovitis?
Researchers will compare baricitinib to other treatments, including methylprednisolone, colchicine, hydroxychloroquine, and methotrexate with folic acid, for managing CPPD.