Couple of issues here.
I bought the camera for about £15
Most likely, this is your problem. I spent a few minutes perusing the IP cameras on Amazon, and £15 is the bottom, bottom, bottom of the barrel. This thing is simply too cheap to have any expectation of reliability.
The wisdom of scraping the bottom of the barrel is arguable. What's not ...
Couple of ways
1. Get the right product
I gather you are looking at this one. That's the wrong one, you want this other one, called the "Ring Spotlight Cam Mount". Black and white wires go to supply hot and neutral, then the red wire goes onward to your external lights. just as this FAQ explains.
That one appears to have onboard lights as well (just ...
This is a glass impact/break sensor. It is wall mounted and hard wired back to the control panel. It detects impact and actual glass breaking up to about 30 feet.
Per @Menace, clap your hands near them and they should light up.