If the gel came off after you wiped it, then it was not cured by the lamp that you have. Incomplete curing of any gel is a prime cause of overexposure that can lead to allergy.
You only need to wipe off the tacky layer of gel before you start to file it to shape and fnish. If the help sheet says to wipe between layers of gel, then it is incorrect.
When you wipe off the tacky layer you should be able to see that the overlay is n place and it should have a shiney surface.
The disco lamp we sell is the one to go for or, if you are interested in Brisa, then you would be best to buy that lamp or the kit and free lamp as it will cure both your gels. Both have a timer.