Battery constantly discharges

Hey, I’m sorry that I’m driving around with my Husky. But the KTM Forum seems to be much more active than everyone else, and I’m on Corsica right now and my box is running just one battery charge. After that, it’s called pushing real with the Husky TE 511, also no rolling up of any higher debris mountains, then lets it jump again, Kickstarter miss. I was here at a small dealer who charged me the battery overnight, at the beginning 11.7 V tomorrow ens slightly over 13 V jumped super on alternator also seemed OK, he also measured at different speeds. Then about 3 – 4 hours hopping around and when turning on it noticed that it gets scarce, so quickly got stuck in the direction of home on the mountain and then pushed 5 km to the car. That was the novel now my questions: Can a broken gel battery 12 V 5AH be recharged by a charger but not by the Lima des Mopeds? (Otherwise asked: Is the new purchase of a battery here?) If you could exclude Lima and battery now, what would be considered? Doubtfully, the light can’t be turned off. Greetings Frank and thank you.