Just go out in nature more. Meditate in forests/woods. You don't need to astral travel or project to do what you have said were your intentions.
With that being said, if you still want to astral travel, it might happen soon, or you might have to experiment with different methods for a bit. Everyone has their pace. I would suggest trying different methods, like astral traveling by using lucid dreams as a means of getting to the astral plane. That seems to work well for a lot of people.
Also, I'm not sure what your third eye has to do with getting to the astral plane.