He can play while in a warm-up stage. Besides, nothing prevents them from begining in the Ark - and then going to a hot spring. It's even easier to do because no summonig of an Ark is required.
It may be that Earl knows a way to turn Tiki back to normal from that mad state. If this is the case it appeares that Allen supplyed a service to Earl instead of killing a Noah - he awakened Tiki's power which is hardly a good did.
It seems that a function of his sword is not what Allen thought it to be.