Timed energy: Check
Triple Town is free to play forever. Eventually, you will run out of moves, but they replenish for free if you wait a while, and you can also buy more moves with free coins that you earn in-game.
Incentivized ads in-game: Check (wrong for both the player and the advertiser)
Update: we've added a 2-minute mode that you can play free, forever, as much as you want, by watching advertisements in between play sessions.
This is the real price of the game:
If you want to eliminate the move counter altogether, there is a one-time fee for lifetime unlimited moves.
Sorry to be blunt, but make a game with real value - not a casual puzzle game with a limited move energy - and the players will buy it.
For some nice mobile packaged games see Avernum and Avadon, Silversword, Mission Europa or The World Ends With You and Ghost Trick.