When you do a pinMode on gpio 13 on this chip it makes it a sw reset loop instantly. (log added as debug). I thought it was a faulty hardware, but this issue doesn't happen if you try it on ESP-IDF.

Hardware: Board: Adafruit Feather ESP32-S2 Core Installation version: 2.0.1 IDE name: Arduino IDE Description: pinMode () has no effect on pins 9, 11 or A4. Other pins work as expected.