How much current can I draw from GND to 3.3V of the ESP32-S3-Devkit module?
I was planning on using it with a small W5500 Ethernet module which draws up to 200mA.
Will the ESP32-S3 be able to reliably deliver that? Even when I use a lot of GPIO pins?
This regulator can provide up to 800 mA of current.
Your ESP32-S3 consumes part of this current.
If you use Wi-Fi, it consumes about 340 mA, and if you do not use other devices with some consumption, there is a maximum of 460 mA left to be used.