The rules are pretty clearly use the words “game” and “rounds” differently.

- For any ongoing game of Tic Tac Toe, as a Daily Action, a Player can make one move. A valid move consists of adding your symbol to exactly one cell that contains no other symbols (removing ‘_’ if it is in that cell).

-  When a Player forms an unbroken vertical, horizontal, or diagonal row of three or more of their symbol anywhere on the board, the round ends, and the player that formed a complete row gains 1 point. If it is impossible for any player to make a valid move, the round ends and nobody gains a point.

- Once a round ends, any player may Reset the board by performing the following atomic action:

- Start a new round

Daily actions apply to games, not rounds, and there is nothing to indicate a new game began.