Somewhere near the base of your mast, you should find a place where a ground wire was attached.
On "Mistress", the PO used a 4-lead trailer wire harness for mast lighting which I kept. It has positive leads for the anchor light, masthead light, and spreader light. The light fixtures are grounded to the mast by contact. The ground wire is attached at the base of the mast, and when plugged in, attached to the negative side of the electrical system.
In essence, your mast was your ground wire. It only needs to be physically attached to the negative side of your electrical system though the wiring at the base.
With your new wiring, your red (hot) will obviously go down the mast. The black (neg) can be cut and attached to the mast at the top, or you can run it to the base. It just needs to be attached to the negative side of your system.