After a short time the webserver is not responding to any query but using serial commands ESP3DLib still respond
It is a compatibility version issue
in Marlin feature.ini
replace
luc-github/ESP32SSDP@^1.1.1
by
ESP32SSDP=luc-github/ESP32SSDP@1.1.1
be sure the ^ is removed, because if not, it will actually download ESP32SSDP version 1.2.0, which is not properly supported by current version of esp32-aduino core version (1.0.4) used by Marlin

The ESP32SSDP version 1.2.0 is well supported by esp32-arduino v2.0.3 (PIO 4.3.0) and a Marlin version using it and latest ESP3DLib can be found here: https://github.com/luc-github/Marlin/tree/ESP3DLibV2