In addition, @11ant might also advise you on (expensive) aluminum elements in that area because it is heavily mechanically stressed. Turn/tilt elements can remain cheaper plastic ones.
That's how it is. Aluminum is (in terms of purchase price) about 20% more expensive than PVC (list price). There are discounts for PVC, but not for aluminum (profile, not covers). The actual aluminum price is therefore unfortunately not 120:100, but 120:70. However, you also get an approximately three times longer replacement interval. So, calculated economically, aluminum is cheaper. But since most private builders calculate like consumers and I am capable of learning, I recommend aluminum here only for the stress and large elements.
Note: I had looked at lift/slide and was initially enthusiastic (would have been 2.5 m wide). But everyone else advised me against it and preferred the normal turn/tilt combo towards the terrace. And that was exactly the right decision. You can open a hinged door faster and easier than the elaborate lift/slide piece.
This width would, in my view, specifically also be the limit to even consider lift/slide at all. In general, lift/slide is an explicit neednt-have and is, in my view, so heavily demanded solely out of herd mentality. You cannot let the cat out more tediously than with the linear movement of a monster. At this point, you can guiltlessly "stick" with PVC for turn/tilt (and gladly apply that to the front door).
no roller shutters but venetian blinds everywhere
I will never understand this popular OR linkage. But there are also people who order their car with an electric motor and then leave out the combustion engine—that is just different, not better. Those who follow the majority should not disregard that the majority is only close to average smart (> normal distribution).