Did the garage mess up?

Hello, today I had to drive my car to the workshop of my trust, as the MKL lit up. After reading out the fault memory it came out that the charging pressure is too low. What’s exactly about it can only be clarified next week after a repair date. So far so bad. However, in the workshop it is suggested that an oil change that I had made a week before (At ATU, because I was not in my hometown for 3 months) was carried out with “false” oil. According to the Besch If my engine has to be filled in 5W30, but ATU has filled in 0W20 (see picture). ICh had nothing at all on the car at 110,000 km and therefore I find the “accident”–> false oil/ MKL jumps a few days later to very inconvenient… Now my questions: Can 0W20 damage my engine or even be responsible for the (strangely) one week later starting MKL, or also caused damage to the turbocharger? Should I have the oil (at the expense of the workshop) My car data: Opel Astra-K 1.4 Sports Tourer (from 2015) 150 hp (110 kW)