The game does not end immediately when one player meets two of the thresholds. Instead, you finish taking turns until each player has taken the same number of turns in the game. If Apollo is an active house, they take the last turn (this is an extra turn).

This is stated on page 6:

The end of the game is triggered when all 3 of these conditions are met by any combination of players OR when any 2 conditions are met by the same player:

Finish taking turns until each player has taken the same number of turns in the game. If Apollo is an active house, they take the last turn (this is an extra turn).

Source: page 6.

Source: Core Rulebook (pp. 1, 2, 6, 7)