The best thing for you at this stage is to climb as much as you can. I wouldn’t worry about too much specific training. Just climb a lot, absorb as much information about climbing with good technique as you can (classes at the local gym, online videos, etc.) and do some general upper body exercises (horizontal and vertical pushing and pulling, whatever variations you like to do) would be my recommendation for now. You likely won’t notice much improvement with finger boarding at this stage, although if you’re not able to climb regularly it’s a good substitute to maintain some fitness. Just be careful to build slowly, rest more than you think you need to, etc. Fingerboarding is as good at injuring fingers as it is at building them.
Another word of advice: accept that you won’t be good at everything. Lifting, mountain running, and climbing are three very different things, and to excel at one you will slow your progress in others. You also only have so much capacity to recover, and hammering the hell out of three different activities will burn you out, so it’s about finding balance between all disciplines.
I have a hard time sometimes because I want to be strong as fuck and also the best climber I can be and also have great cardio…at the same time. It doesn’t quite work like that. It’s peak climbing season where I live right now, so I’m pretty weak and my cardio is suffering. It took me a few years to just come to terms with that. When winter arrives I’ll be hitting the weights hard again.