[OP05-012] - Hack (Awakening of the New Era)

During my turn, my opponent's "OP05-012 Hack" with a base power of 5000 is given +2000 power by the [Counter] effect of "OP07-018 KEEP OUT", making its power 7000 until the end of my opponent's next turn. If I use this [On Play] effect of my Character on that "Hack" card, will that "Hack" card's power be 0 during my current turn, and then 7000 during my opponent's turn?

Yes, in this case, it's power will become 7000.