Probably.5606, but A or H? Or other?
Top of the nose wheel fairing looks all cracked out?
I would also be doing something with that fairing while apart.
Skydrol would be a very bad call.83282 is as good as 5606 or Skydrol and is less flammable. It works well but you can use whatever your mechanic has on hand.
Frank
That scissor assembly has to be nearly straightened right out to let the fluid and gas escape. A worn stop won't do it. I've repaired many of these things.One more problem that occurs over time is that the stop on the scissor assembly will wear allowing the strut to drop too far which allows the nitrogen and oil to leak out in flight. Everything looks great til you take off. When you return to land the struts empty again. Its something else to check.....
Frank