BIQU MicroProbe V2.0 not working

You seem to have a general issue with your endstops, particularly X and Y. Follow this link and, first and foremost, ensure that G28 X and G28 Y are working correctly.

Additionally, you have multiple instances of the following error:

Timeout with MCU 'mcu' (eventtime=125.968767)
Transition to shutdown state: Lost communication with MCU 'mcu'

This indicates a general hardware issue. Refer to Timeout with MCU / Lost communication with MCU.

Moreover, the MicroProbe is not a BLTouch, despite its resemblance. Neither the settings nor the commands for a BLTouch apply to it.