Someone had already ported DOOM to the ESP32-S3: https://github.com/chcbaram/esp32-s3-boy_fw

I ported it to the Adafruit ESP32-S3 TFT Feather, including fitting DOOM1.WAD into the internal flash with squashfs. It works well enough to play the demos in a loop, but as there are no controls it's not playable: https://github.com/adafruit/esp32-s3-boy_fw