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If yours is like mine it has the big electric motor and belt drive blower. If that's the case I wouldn't tie into that wire. High risk of overloading circuits. However  you could find the output leads on the back of the gen and run SOOW cord and make a new outlet in that bay. Downside to that would be that it wouldn't have a breaker if it ever needed one.

Actually your comment on the breaker made me think about I also would not have a switch inside the coach for it which would not be ideal.  I’ll just wire it in as is.