How do I add Apple Pencil Pro to Find My on my new iPad Air 13 M4 (2026)?

Though it does attach magnetically in the proper place, it does not connect to the system, does not appear in any list, and does not appear in the Find My Devices list. It's like it's not there at all. When I click on the + icon to try to add it, the only items that appear are two email people, no devices at all.

When I use it on my previous iPad Air 5th generation, model A2051, the Apple Pencil Pro works fine there. For information, the Pencil firmware version is 0154.0093.0444.0060, and the hardware version is 1100.