Sorry to read that, Mouse!
Since a CVT consists of a lot of parts, I would not take the mechanics statement as granted.
Front pulleys? What happened to them? Clutch, completely disintegrated? Belt, okay, should be.
Demand documentation of all this .
All complete CVT inclusive clutch and belt should not be more than €500,- for your scoot, plus two hours of labour.
Do they charge you for diagnostics too?