-Running bare wires in a tree will short your antenna, give you poor performance, high impedances, and give a minor risk of fire.
-Can you please explain a 3 wire dipole?
A 3 wire dipole is a fan dipole. 3 bands on one feedpoint.
I have plenty of experience with antennas in trees.
One leg of my 80 meter dipole runs right through a maple tree. The other leg ends about 2 feet from a tree branch. I have run 1000 watts into that antenna and the trees have never caught on fire. The leaves come on the maple tree and the swr does not change.
At one point in time I had a 40 meter dipole running through that maple tree. Again 1000 watts, no fires. No change in swr when the leaves arrived in the spring.
I moved that 40 meter dipole into the clear on another tower. No difference in performance from one tower to the other.
The key to running dipoles through trees is to use insulated wire
. Never use bare wire.
So for the original poster if you use insulated wire your antenna will work. Remember that when you use insulated wire the legs of the dipole will be shorter than when using bare wire. Cut the lengths to the formula, then you can simply shorten them to resonate the antenna.