You know the button on the fittings. It is not that simple at all. The type that my colleague gave me does not tell me anything, because I am not a balcony door specialist, so there will be no specific advice, but I am struggling with this problem in the same way. And since I took it apart and analyzed it, I find it not that simple.
The reason for the defect are factory inaccuracies, this cannot be hidden. But how after many years to pursue you don't know which factory? Inaccurate fitting of the mechanism, inaccurate machining, and during normal operation, all this causes bending of the elements, their side friction and, as a result, excessive wear, contribute to the wear and tear of the mechanism.
Nobody probably counted these resistance, because what for? Szajs and crap. These are gills, like tinned food, they have slack in the guides, like from here to the moon, because who would care?
I fixed this by squeezing a metal clip almost the thickness of a paperclip between the outer guides (on both sides, for experimentation), but it helped for two days. Besides, the breech rack was still increasing the play and it did not have any effect.
Unfortunately! I have a balcony door that is just over 10 years old, supposed to be normal (these are already being replaced in the new system) and a button! There are problems to open them, there are also when I want to close. The search for such fittings on the Internet was unsuccessful. Probably the price will be higher than the new door. There are no such! Or they pretend to be dumb.
That is why I do not bode well for you, although I wish you success.
PS. Leave the handle alone, that's not the topic.