but wait... what about Red Vengance then? how can i satisfy claim, then play red vengance, and make my opponent satisfty that claim instead of me...
Red Vengeance is a "cancel" response which can interrupt the framework action (i.e. determining winner and satisfying claim). Other responses must happen after the framework action resolves completely.
and Lannister always Pays His Depts? If i Intriuge the opponent i can take it from him before he plays? makes no sense:/
No, since this is a regular response card (doesn't have the work "save" or "cancel" in the text, then it must be played after claim is satisfied. Which is why this card isn't as good imo.