The LRA at 62A will be a challenge for a 3.5kW generator head
to handle. I predict the voltage drops so low that the air conditioner either will not start or it shuts down automatically due to low voltage. Either way it’s not likely to start.
There are two types of air conditioner add-ons in the market place. There is a thing called “soft-start” or some other trade
name. These are all similar and utilize a capacitor, resistor and a relay to “help” the motor
start. Supco is one brand.
Some of these are “smarter” than others. For these capacitor helper devices to work
there is a specific optimal capacitor value that works for each motor. The “smart” ones have the ability to change the capacitor value using relays and a tiny control circuit. They “learn” the optimum capacitor value within 4-5 startups. I believe Dometic makes one of these so-called “smart” types.
There is also a more uncommon type that uses a variable voltage/frequency inverter
to start motors. These are much more expensive but they work
perfectly because they never draw high current
from the generator.