Could not load bluetooth preference pane on MAC OS Monterey 12.7.2

I think you'd have to Reinstall the OS.

There are at least 3 Library folders, are ou looking in the one at Root of the drive?

SystemReport>Hardware>Bluetooth, does it say something like this...

 Apple Bluetooth Software Version: 6.0.14d12

 Hardware, Features, and Settings:

 Name: im19

 Address: 14-7D-DA-3E-30-4C

 Bluetooth Low Energy Supported: Yes

 Handoff Supported: Yes

 Instant Hot Spot Supported: Yes

 Manufacturer: Broadcom

 Transport: UART

 Chipset: 4364B0

 Firmware Version: v67 c4398

 Bluetooth Power: On

 Discoverable: On

 Connectable: Yes

 Auto Seek Pointing: Off

 Remote wake: On

 Vendor ID: 0x05AC

 Product ID: 0x007B

 HCI Version: 5.0 (0x9)

 HCI Revision: 0x112E

 LMP Version: (0x9)

 LMP Subversion: 0x1043

 Device Type (Major): Computer

 Device Type (Complete): Mac Desktop

 Composite Class Of Device: 0x380104

 Device Class (Major): 0x01

 Device Class (Minor): 0x01

 Service Class: 0x1C0

 Auto Seek Keyboard: Off

Seems a hardware issue, a USB->BT dongle as linked to, is likely the best solution.

In Mojave...

/Library/Preferences/com.apple.Bluetooth.plist

/private/var/root/Library/Preferences/com.apple.bluetoothd.plist

Looks the same in Sonoma.

And System Report says what???

https://www.amazon.com/Kinivo-USB-Bluetooth-4-0-Compatible/dp/B007Q45EF4/ref=sr_1_3?keywords=bluetooth%2Bdongle%2Bmac&qid=1703696834&sr=8-3&th=1