In Azul, during the wall-tiling phase, how should the scoring order be calculated for consecutively connected tiles?

In Azul, during each round's tiling and scoring phase, when a completed tile is moved from a pattern line to the corresponding space on the right-side wall: If the newly placed tile simultaneously connects to a horizontal run of consecutive tiles and a vertical run of consecutive tiles, are the scores added separately for the horizontal and vertical runs? Will the newly placed tile be counted twice? And how is an isolated single tile scored?