>>64209833
Ultimately depends on the circumstances, but it seems it would typically end up in a fight, or just with one side apprehending the other as prisoners if sufficiently outmaching them to skip that part
Two examples experienced by Lt Col Simcoe of the Queen's Rangers, the first being shortly before Monmouth and the second near Richmond:
https://archive.org/details/simcoesmilitary00simcgoog/page/n82/mode/2up
https://archive.org/details/simcoesmilitary00simcgoog/page/n236/mode/2up
there may have been others in his book, but if I went through the whole thing looking for then then the thread would be archived before I finished
From the continental side, one from Henry Lee of Lee's Legion, in which his column is mistaken for friendly by the enemy and allowed to pass by, and he takes advantage of the opportunity to launch a surprise attack against a loyalist commander:
https://archive.org/details/memoirswarinsou00leegoog/page/n157/mode/2up
There was another account from one of the people riding with Lee claiming that this confusion was actually mutual, with Pyle's regiment likewise initially mistaken for a rebel militia group in the area, but I can't recall or find the source now
also have some OC I just threw together