Does it happen all the time? Does it get better if you're not online on other devices? Not saying it is, but that could be your ISP not allowing as many connections on your network.
A number of providers are artificially limiting the number of internal connections (e.g., 4-8) on the Modem + AP/Router built-in (the latter does the internal) these days - so just to second jetsaholic, try turning off those devices. If that works, turn off your computer, turn the others back on, then retry.
One way around these artificial limits in the provider's device is to get your own device that you control.
The only other thing I can think of is if their tech set a MAC (hardware address) filter on the Router, so only those devices he setup can access the Internet. But I've never seen a tech do that, meaning you couldn't connect any new WiFi device without reconfiguring the Router.
I know FIOS here in VA, I had to get 75/75 mps internet in order to accomodate more than 7 devices at the same time, otherwise everything lags pretty bad.
Sounds like he's not getting an IP, or Windows cannot ping the Internet ("Limited" usually means the latter).
I have nearly 60 IPs in my house on BrightHouses' 2001-era 20/2 with no similar issues (although streaming 4+ will cause performance issues).
Is it a laptop? If it isn't, just hardwire it. I did mine because it kept lagging during online gaming and hardwiring it took care of the issue.
Yes, try a wired Ethernet cable to your Router (assuming you have a LAN port, not just WAN/Internet or the cable/DSL connection) to check it is not a radio issue with your notebook's WiFi, especially on laptops with the RFKill function (ability to turn off the WiFi radio) that can often be a source of issues with drivers/hardware.
This caused issues on my wife's Lenovo U260 2 years ago. Replacing the WiFi card didn't solve the problem, and Lenovo support finally realized it was the separate RFKill logic on the main board (had to send the whole notebook back).
RFkill is the #1 issue I see with a single notebook seemingly reconnecting, but unable to transmit/receive, unlike other WiFivdevices onvthe same network. More and more ODMs are starting to put the PHY+RFkill (physical interface+radio logic) on its own, separate PCB (mini-board) for this reason.