The Targaryen Character Disgruntled Mercenary has the text:
Return Disgruntled Mercenary to its owner's hand at the end of the first challenge initiated each round.
Disgruntled Mercenary has a cost of Zero.
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The Targaryen Attachment Dragon Egg has the text:
Attach to a card controlled by an opponent. Targaryen cards of the attached card's type in your had gain ambush during the challenges phase.
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I've attached a Dragon Egg onto one of my opponent's characters. I have a Disgruntled Mercenary in my hand. I'd like to ambush the Disgruntled Mercenary into play. In order to do this I need to spend zero influence. Is this possible ? Do I spend any of my influence at all ?