Welcome to our forum.
You have an interesting story, and an interesting situation. I see a potential there for a V relationship where you are the "hinge." G and L would both have to be okay with it, though.
The thing here is, I think, to not rule something out just because it's out of the ordinary. V relationships do happen, and work out every day. I am in a V myself, and am one of the "arms." So sure I just have one romantic partner, whereas she has two romantic partners (me and one other guy), but I am okay with that. It's just something that takes some adjusting. We had to work out our "bumps in the road" during our first couple of years.
I guess I am also encouraging you (and L and G) to not be spooked by you being polyamorous and both of them being monogamous. Mono/poly relationships can work out in real life as well.
Anyway, I'm glad you could join us, and hope you enjoy your stay.
Love means never having to say, "Put down that meat cleaver!"