Scooter – wrong oil fuelled

Moin people, I’m new to this forum and I know that there has already been such a topic, but I couldn’t relate it to my situation. I don’t know much about scooters and engines, but I’d like to look at it myself instead of going to a workshop, especially since the items aren’t really expensive. I recently bought an Explorer Race GT 50, with an expanded oil tank, which is why I have to fill it up in advance. I was in a hurry in the morning and when I was off the tank was empty. In the hectic I picked up a tank, which is actually intended for my outboard engine, I thought, there is also super in it and 1:50 2T oil. I started it a few times, but it always went out again after a short time. In retrospect I didn’t think that there is 2T oil for a water-cooled outboard engine and not for an air-cooled engine. I let the tank run out and filled the right mixture. I suspect that the wrong oil has burned pistons, cylinders and carburetors. Could that be? Thank you in advance for your answers.