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I don’t suffer from arthritis but know their are several here that can chime in.
Have you seen the warmup routine in the skills courses? I’ll post that below. But there are also ways to play chords with only 1 or 2 fingers while only striking 3 strings, you might consider this approach. Of course there are many TAC challenges that are built around the ten or so open chords that beginners typically learn first (C, D, D-, E, E-, E7, G, A, A-, A7) so use your discretion about which open chord shapes you might want to put on the back burner for now if you want to try out this alternative.
Daily Stretch for Guitar – https://tonypolecastro.com/courses/guitar-players-daily-stretch-guide/