When I first tried to get my SKR E3 Mini V3.0 board working with my CR Touch I had a problem where the Z Axis would not lower. I was using the 5 pin dedicated connector on the board.

I had the line

    #define BLTOUCH

uncommented, but I failed to uncomment the line:

#define BLTOUCH_ON_5PIN

The working configuration looked like this:

                        /**
                        * BLTouch/CRTouch
                        *
                        * If you want to use the BLTouch/CRTouch uncomment the BLTOUCH line below.
                        * You also need then enter in your sensor offsets below in the CUSTOM PROBE section.
                        *
                        * If you are using the 5 pin header for all the BL Touch connections, uncomment BLTOUCH_ON_5PIN line - THIS IS THE RECOMMENDED CONNECTION METHOD ON THIS BOARD. See BLTOUCH_ON_5PIN Wiring.png for connection info.
                        *
                        * If you need to change your SERVO pin you can change that with the SERVO0_PIN Line below. Most people do NOT need to change/set this.
                        */
                        #define BLTOUCH
                        //#define SERVO0_PIN PA1
                        #define BLTOUCH_ON_5PIN

I also had to set the

                        #define Z_MIN_PROBE_ENDSTOP_INVERTING true

So this section looks like:

                        #define X_MIN_ENDSTOP_INVERTING false
                        #define Y_MIN_ENDSTOP_INVERTING false
                        #define Z_MIN_ENDSTOP_INVERTING false
                        #define X_MAX_ENDSTOP_INVERTING false
                        #define Y_MAX_ENDSTOP_INVERTING false
                        #define Z_MAX_ENDSTOP_INVERTING false
                        #define Z_MIN_PROBE_ENDSTOP_INVERTING true