Q: apple tv is connected to the network but won't connect to internet?

try connecting it by ethernet see if it change things

also if your wifi router have the default name rather then what you set then maybe you are not connecting to the wifi network you think you are but just an unprotected wifi network close by using the same SSID

did you ever get this problem fixed? i am having the exact same one i have tried EVERYTHING

have you tried connecting using ethernet to see if it's a wifi issue ?

and have you verified that the required ports are allowed on the network ?

TCP and UDP ports and protocols used by Apple TV - Apple Support

TCP and UDP ports used by Apple software products - Apple Support