I don't know about FPV drones. I actually don't know much about drones in general. But I know quite a bit about aviation in general and I know about electronics: so there are fewer blanks to fill in.
LiPo batteries are energy-dense, lightweight, and can handle very high draw, which makes them ideal for aviation and vehicle applications.
Lifespan, however, is not one of their strong points. 100 - 150 recharge cycles is about the best you can hope for even with superb, textbook battery care. But even with ordinary care, I think you should have done better than 35 cycles.
Maybe the last use ran it down too low to accept a charge? There are ways around that if it happens, but there is some danger involved. You shouldn't do it yourself if you're not experienced. You probably shouldn't do it even if you are experienced; but sometimes that choice is taken away.
I wonder if battery life is a function of time and cycles? All four of my batteries gave a battery error. I'm thinking the cells weren't balanced. I bought two more refurbs at $80 each and when they die I am done with this. I was quoting the life cycle because I was shopping for solar battery banks and for lithium you are "suppose" to get 500 cycles and LIPO up to 2000. And our cell phones will last a couple of years being charged/discharged daily.There's been a few articles that state even if you do all the right things and manage to make it to the recycling center there's still no guarantee that things will actually get recycled. Many times I wonder if sorting the recyclables is nothing more than a feel good exercise that is a waste of time.
I have never owned a single drone battery that lasted that long. I don't claim to be a battery expert and I know on paper the batteries should last that long but I've been flying drones since 2014 and each iteration has gotten worse and worse battery life. The P2 had the longest lasting batteries for me and the Mavic Pro had the worst. The DJI P4's batteries might last 100 cycles if you are lucky; no idea yet how long the EVO II's batteries will last....I'm thinking 1yr at most.