I'm not forgetting anything. You send 3 in the top 2 camps, so that they get past the switch. Then you have 2 squads that go through a single fork. The first squad isn't a coin flip, it goes the 'correct' direction. The 2nd squad is a flip.
The bottom area, you have 2 squads that both have to take the bottom route, that's 2 more flips.
Finally, those 2 approach a fork where the first one goes the right direction, and the 2nd squad is a flip.
4 flips.