Internet problem even tho im connected

my xbox used to work perfectly fine with my internet . but then when ever i tried playing it would tell me to go online or to connect to xbox live or internet, I was ALREADY connected. So i used a router box kinda like a personal wifi and it worked for 1 hour and then now it doesn’t at all. I connect to the internet it said “It’s all good your connected” soo im like okay. but then when i go to play an sign in it tells me im not connected.

I’ve tryed everything! I’ve restarted it, full shutdown, plugged it in and out from both tv and wall EVERYTHING. I searched some stuff up on youtube and websites and ive done everything it told me to do and nothing has worked.