I was playing a game at home with my bro yesterday and was using the new Deathstroke and some questions came up. With his calculator team ability can he copy any team ability from my force and my opponent's? If he can copy an opponent's team ability I have another question: If I'm copying Batman's Team ability that gives me stealth and Batman is knocked out of the game, do I lose the Batman team ability even if I was still using it at the time of Batman being KOed? Can Deathstroke use the new Nightwing's dual team ability or Batman team ability from the new Nightwing? Thanks for any clarfications on these questions.

You can copy any team ability from your force only. There is a feat called siphon power that allows you to copy an opponent's team ability.

Anytime the character you're copying the team ability from is KOed, you lose the ability. So yes, when batman is KOed, you lose the team ability.

You can copy the printed Batman team ability from nightwing.

I don't believe you can copy the dual team ability from nightwing. First, it's not actually printed on the dial. Second, the Outsider's team ability cannot be copied.
Not exactly sure about the last one, but hope this helps.

-Immortal_Raven

You can copy the Titans TA from Nightwing if he is on his first click. The power says that he possesses the TA and the Team Symbol. The Outsiders still would not be able to be copied because it specifically states that it cannot be copied.