I wouldn’t have removed the white tiles from around 2000 at all and, given the construction year of 1956, would have immediately suspected that it wasn’t just the second layer—at least on the wall facing the hallway: in the floor plan, one might have suspected it, or at the latest after removing the door frame.
This has to do with the thin wall and the fact that tiles were bedded thicker back then: you can’t knock them off so finely dosed, a bit of wall surface always crumbles along. With the thin wall, I wouldn’t have expected anything else than that both layer 2 and layer 3 were simply laid on top. From 14.5 cm thick or at the latest 17.5 cm thick walls, however, I would have expected that the old layer would have been knocked off each time.
If you are renovating from scratch for the first time, never only work with bold people, but also always with experienced ones.
I now advise you to decide for each wall section (an entire wall side or an entire niche side) and only continue to remove more than one third of the peeled surface for that section and otherwise to start rebuilding.