Thanks for having taken the time to provide all those informations !

Actually i already went onto that forum were someone said that this library might be buggy, but this post was from 2022, and the microcontroller i'm using was also released that year so i thought that maybe it should me more stable today.

Anyway i just switched to using another library called microdot, and everything works fine.

Here is the github repo in case anyone is interested : https://github.com/spacecreep/Raspberry_pi_pico_w_weather_station

It is simply a basic website displaying realtime retrieved data from the pico using websockets.