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http://transambikerace.com/rules/
Spirit: Above all, attempts are intended to be solo / self-supported, self-timed, and observed as one stage, i.e. the clock runs non-stop. The challenge is complete upon arrival to the opposite Trans Am terminus from start. There are no required checkpoints or designated rest periods on course. There is no finish time cut-off!
Modus operandi: To complete the Route, a rider may resupply food / equipment, rent a room, launder clothing, even service their bike at commercial shops along the way. The intent is to ride unsupported between towns, and function self-supported when in towns. Any services utilized must always be commercially available to all challengers and not pre-arranged. No private resupply, no private lodging.
Trans Am Bike Race strives for equal opportunity within the GC. Whether doing an independent time trial or tackling the grand départ, the Trans Am requires that every challenger—from those living along the route to those living on other continents—have an equal playing field. Therefore, outside assistance with navigation, lodging or resupply (especially receipt of supplies from a non-commercial shipper) is prohibited.
Visitation: Family and friends may visit riders in route but can in no way provide material support or shelter.
Do they also have a rule like, act in the spirit of the race?
People will always try to bend rules. Just do what you feel is acceptable.
And I don't think that rules applies to transcon. But if it were a mates place it would be 3rd party support. However if you met a stranger who said, want to sleep on my floor. Then that's fine.