Specifically, using Blum European cup hinges, the cabinet door consumes the 3/4 inch space I need to make the appliance lift work. 35mm cup. With Clip top hinges you can make all three hinge adjustments – side-to-side, depth and height. Recommended for frameless cabinet applications. You could use cabinet hinges. Here is a link that might be useful: cabinet hinges.
Screw-on case, made of steel, self-closing. 3-dimensional adjustment. Hinge with zero protrusion for cabinets with interior drawers. Spiral tech depth adjustment of plus 3 mm and minus 2 mm. The hinge connects to the cabinet door, and the mounting plate attaches to the cabinet. First measure your door overlay and then choose the mounting plate. Blum 71T5550 Overlay Hinges CLIP Top Cabinet Hinges Concealed Euro Hinges;
A piano hinge will open less than 90 degrees before the frame hits the wall.
Clip Top Hinge