Parity Tic-Tac-Toe

Normal sudoku rules apply. Entering correct digits may clear fog somewhere in the grid - no guessing is necessary.

Digits separated by a white dot are consecutive. Digits separated by a black dot are in a 1:2 ratio.

OVERALL GAME: Todd and Steven are playing a game of Tic-Tac-Toe in a sudoku grid, where they attempt to 'claim' each 3x3 box. It's a very close game, with one player claiming four boxes and the other claiming five. However, the winner isn't necessarily the player to claim most boxes. To win the overall game, a player must claim at least one straight line of three 3x3 boxes (horizontally, vertically or diagonally), without their opponent managing to get a line of three boxes themselves.

CLAIMING A BOX: To determine who claims each 3x3 box, Todd and Steven play a mini game in each box. Todd places odd digits and Steven places even digits. A player claims a 3x3 box by getting at least one straight line of three digits of their parity (horizontally, vertically or diagonally) in that box, and without their opponent managing to get a line of three digits themselves.

Every 3x3 box has a definitive winner, and there is also a definitive winner of the overall multi-box game. But who is it?!