I have an S22. It fits into the arm, but barely, and I am afraid it will fall out, so heres what I did to make it secure. Thats a strip of drywall corner protector trimmed and gorilla glued on. Maybe you could similarly extend the top of the cradle arm with something U shaped that would hold your phone's edge and the arm extended.
Or, about all I can think of is to use something that does fit, and use a quad lock to connect your phone to it once the homemade piece is in place. You could even use an old phone (by itself or in a case) with the quad lock stuck to the back such that the old phone is upside down in the cradle.
Quadlock case for your S22 Ultra phone:
Protect your Samsung Galaxy with confidence with the Quad Lock® smartphone case. With a tough, polycarbonate core and impact absorbing TPU edge-to-edge outer shell.
www.quadlockcase.com
Wall mount (stick to back of old phone) or something that fits in the cradle.
If you already have a Quad Lock® case, you can Twist Lock and Go with any of these secure mounts.
www.quadlockcase.com
Or maybe stick a RAM X-grip to the old phone that could then lay flat in the cradle:
RAM® Mounts offers the widest selection of rugged mounts featuring the best cellphone holders for cars as well as the best motorcycle phone mounts for a variety of bikes.
www.rammount.com