That’s why I spoke of personal contribution. I assume you’re looking at 2-3 thousand euros without compiling a materials list. Of course, and personal effort.
What might also work is to take a look at carports. They are sometimes cheaper and you can put something other than a roof on them or leave it off and instead stretch a sun sail.
I wouldn’t have any problem with personal contribution and definitely have the right helpers who have far more craftsmanship knowledge than I do.
Which "models" are you talking about here? I only know pergolas where you don’t commission the assembly and thus build the thing yourself. To me, it sounds like you want to build something like that completely on your own?
The assembly effort with certain manufacturers is about 1,500€ maximum (I have already had one or two offers in this regard), so I still don’t necessarily come close to 2-3k.