In Tableau Building games, each player has a visible personal array or tableau of components (cards, tiles, player boards, etc.) which they purposefully build or manipulate throughout the game by spending actions and/or resources (including opportunity costs) and which determines the quality, quantity, and/or variety of actions to which they have access throughout the game.
The array is not merely a place to store resources, to plan out actions, to store a puzzle which must be manipulated, or something that impacts VP's. It impacts the quality, quantity, and/or variety of actions which are accessible to a player. This means that some games may include an array or a tableau but not really be a tableau building game.