Retrofit a 90 degree header to ICP pads. Connect a resistor 10K between pin1 and pin3 of the ICP to compensate a PCB layout glitch.
Alternatively connect your "STLINK V2" programmer's SWIM signal of to pin11 of the 7S-LED display socket (you can remove some of the solder mask near pin6 "NC" of the socket to turn it into GND with a bit of solder). You may need to connect the programmer's NRST signal to pin3 of the ICP reset the STM8S003F3 to factory defaults, then disconnect NRST and program the STM8EF binary. Refer to the project Wiki for details.