Yamaha Cygnus x 125 Start problems

Hello Wissende! 🙂 I’ve had a Cygnus x 125 (2005 30000km) for a few years now. My problem. At home the scooter starts very quickly and without sounding and crackling. After work, the scooter was often in the sun, so it got warm, doesn’t like to start immediately. It’s a painful act until it finally runs with crashing starter free running noises and a lot of gas giving. Then he drives home completely unobtrusively. The next morning he starts again without any problems. I have been following this problem for years now and sometimes I try again something new, partly already homeopatic. Without success I have done this so far: cold start automatic check and in spite of function times replaced. Carburettor completely disassembled and cleaned several times, all individual parts checked. Submersible hoses checked. Intake manifold sealed with sealant mass, with hope for success. Engine housing ventilation valve and the hoses checked. Spark plug new CR7E and also once a CR8E Tested. Petrol pump new. Battery new. Lufi new. Times Super times Super plus fuel. Idle air screw positions of 1/4…. 3/4 open, least problems there was in position 1/2. I am a relatively experienced motorcycle screwdriver but now I am totally overwhelmed…. Does of you jemenad maybe what else can be? Thanks Christian 🙂