Why does I Mac not support my iPhone 14-plus with Bluetooth?
Why is Bluetooth not supported between my I Mac and iPhone 14-plus?
iPhone 14 Pro Max, iOS 16
See the information in: Bluetooth: Why can't I pair my iPhone or … - Apple Community
If you are attempting to use Handoff/Continuity or AirDrop, that does involve Bluetooth but the devices are NOT paired; Bluetooth just needs to be on and the devices in range of each other. The following may help with Handoff/Continuity issues: Use Continuity to connect your Mac, iPhone, iPad, and Apple Watch - Apple Support
Also see Share files between your Mac and Bluetooth devices - Apple Support