No first-player penalty on the opening round

Taking the first-player marker in round one costs no floor-line penalty. Removes an opening tax that punishes the player who simply went first.

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More Azul houserules

Draft to the wall
Play on the grey side of the player boards — the rulebook's own variant, which most groups never turn over. A completed pattern line may go on any space in its matching row, so long as that colour is not already somewhere in the same column. Substantially harder, and worth saving until everyone knows the printed wall.
Two rows to end a two-player game
With two players, the game ends after the round in which someone completes their SECOND horizontal row, not their first. Two-player Azul otherwise ends about a round before the wall gets interesting.