Kawasaki KZ 250 G LTD goes out when it is warm

Hello, I bought a Z 250 G LDT with 53tkm and 7 years of service life a few weeks ago. Made : – oil change/filter change – clutch pull new – battery new – valves set – carburettor cleaned – ZK New, old had wrong thermal value Although it starts with Choke, then runs relatively calmly in the stationary gas and can also drive until the engine is warm (if it runs warm in the stationary gas, or at 10 min drive with about 30-50 kmH). (1500rpm) runs, just goes out and can’t be started for 10-20 min. The spark plug is worn but not wet… Greetings