@ageis This page seems to have the best description of the wiring https://www.3dpedie.cz/en/manuals/p.i.n.d.a-v2/
BLACK > Output signal from the probe
BLUE > GND, or ground
BROWN > +5V
WHITE > Temperature sensor output
I think you have a Duet 2 Ethernet? You'll need to split out the +5V (Brown) and temperature sensor output (White) and connect them to +5V (the Z probe header only has 3V) and a thermistor input respectively. Black and Blue can connect to the appropriate connections on the Z probe header.
For configuration, define the probe with M558, the thermistor with M308 and the probe offsets and compensation with G31. There's an example in the Gcode Dictionary in the G31 entry: https://docs.duet3d.com/en/User_manual/Reference/Gcodes#g31-set-or-report-current-probe-status
; RRF 3.3 and later example of probe with thermistor and temperature compensation
M558 P8 C"io2.in" H1 F1000 T6000 A3 ; Prusa PindaV2 Endstop
M308 S2 P"temp2" A"Pinda V2" Y"thermistor" T100000 B3950 ; Prusa PindaV2 Thermistor
G31 P500 X23 Y5 Z1.1 S21 H2 T0.02 ; Nozzle offset - Smooth Sheet
The above is for Duet 3, so change the input pins to the ones you are using (M558 C parameter, M308 P parameter).
Ian