It could be an ad hoc unit formed by a higher command to fill some special need, or to use persons not assigned to a formed unit. Like a spare company commander and a set of captured weapons. Or it's the battalion's unofficial cantonment group, or designated foragers/scroungers, or vehicle maintenance team.
In the pre-1958 Army, G Company would be the 3rd line company of the 2nd battalion of the regiment. So that wouldn't fit for 3-143, it would otherwise be I,K,L, and M companies. Again, if it's unofficial, and you're the GM, go for it. Who knows why the battalion CO wanted to name it Golf Company. Is that the initial of the unit commander?
IIRC, attachments to a company creates a "Team," while battalion + attachments is a "Task Force."
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My Twilight claim to fame: I ran "Allegheny Uprising" at Allegheny College, spring of 1988.
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