Changing wiring on alternator (I searched)

[Rather Diesel]

I have an engine from a 1983 300TD that I stuffed into an old Toyota
4Runner. (the Benz was totalled) I went to the salvage yard and found the correct alternator plug and retainer.

From my searches, I found that the two matching wires on the plug originally ran to the starter (that connected to the battery). Rather than do that, since my alternator is really close to the battery now, can I just run those two wires directly to the battery?

Or, does the starter-connection play some role in the battery-charging circuit?

What do I do with the third wire?

Thanks very much for any help.

Roy