My test was conducted by changing the pink dice to have a 16 bit UUID using the ASKSampleAccessory app. Afterwards, I ran AccessorySetupKit Picker in the ASKSample app, but Pink dice was not found.
We confirmed that Pink dice was searched well in other apps.
Does AccessorySetupKit not support 16 bit UUID?
AccessorySetupKit Sample code : https://developer.apple.com/documentation/AccessorySetupKit/authorizing-a-bluetooth-accessory-to-share-a-dice-roll