This is the minimum in terms of power, price, and brand familiarity that I could find.
Around 1.000eur in EU.
https://hyundaipowerequipment.co.uk/p1-p4000i-4000w-portable-petrol-inverter-generator-powered-by-hyundai
For reference, Yamaha is 2X and Honda 3X this price.
Haven't looked at the...