PS4 says I'm connected to the internet but I can't access anything online, including my PS+ sub management or the store.

Got kicked from a Gwent match and assumed my internet went out. Ran the connection test on the PS4 and says I'm still connected. Can't get back into Gwent though, and if I check my PS+ subscription or the store it can't connect there either. Server status says everything is fine on PlayStation's side.

Any advice?