Hello so I have a question if I Mind Control Thane to use Running Shot would I be able to use his Traited Pulse Wave?

I'm not sure about the order you are suggesting in the title (MC+RS+PW) but you can certainly use both Mind Control and PW in the same turn.

Running shot grants a free ranged combat action. Mind Control grants either a close or ranged combat action. So you can absolutely RS+MC. Then, once actions resolve, you can activate the free PW from Thane's trait.

I am sugesting that another character manages to MC Thane. so MC -> RS -> PW.

Since the Pulse Wave in this case is a free action instead of a ranged combat action I don't think it can be activated during a Running Shot.

If another character where to MC Thane then no, as he can only use Pulse Wave as a free action, and not during Running Shot. Mind Control gives you only one action as a free action, even if it's another free action.

That is what I was thinking as well I just wanted to check.

so a fun way to mess with an opponent's team if they are running thane, is to mind control him and use pulsewave. that way he can't use support for the rest of the game. Am I understanding this correctly?

I agree with Quebbster.

Player's Guide section 1 page 2:

I believe if you use MC on Thane and use PW the Support restriction would apply to the Mind Controller only.

I suspect that WK will probably declare that so, but the game text doesn't support it. Remember, that the Mind Control "per Controller" stuff stems from this text:

Player's Guide II, page 2:

When a character is affected by Mind Control, any of its powers previously countered remain countered. Powers and abilities that may only be used once per turn, round, or game may be used accordingly per Mind Controller.

Thane's situation isn't really covered by that text.

If Thane were Mind controlled to use his PW would he no longer be able to PW ??

He would still be able to use PW unless he had allready used it. He just would not be able to not use PW again while being Mind Controlled again by the same character.

Player's Guide section 02 page 1:

sorry still confused
what I want to know is:

If I MC Thane into using his once per game PW.

Will he still be able to use it for himself later in that same game ?

yes - once per... effects are actually

once per (game/turn/whatever) for the character

and

once per (...) per mind controller