I don’t see a brown wire or a fuse numbered 24:Aux B stud is trailer wiring from factory, Aux A stud is for what ever you want. Its not clear on the Aux Batt post so I am assuming it goes on the normal batt post on the side. The Hot run is just a brown wire coming off fuse #24 inside fuse box via the ignition. When ignition is on its hot. Hopefully you can find that brown wire under the hood and just plug back in.
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That diagram also says fuse 24 and “4WD”.
Hot in run wouldn’t be the bolt on the upper left hand side of the fuse box, would it?