Hi!
It seems that MAC is already output in the beginning of both erase and flash steps (open the log by clicking on the blue link in the bottom of the dialog):
Connecting.....
Detecting chip type... Unsupported detection protocol, switching and trying again...
Connecting.....
Detecting chip type... ESP32
Chip is ESP32-PICO-V3-02 (revision 3)
Features: WiFi, BT, Dual Core, 240MHz, Embedded Flash, Embedded PSRAM, VRef calibration in efuse, Coding Scheme None
Crystal is 40MHz
MAC: e8:9f:6d:20:33:c4
...
Best regards,
Aivar