Hello
To answer your question precisely: Yes, it works exactly as you intend.
The balcony surface has already endured several summers as well as winters, including watering.
That means: the waterproofing layer underneath has worked so far.
Why shouldn't it continue to work? (rhetorical question)
The slope should be checked as a precaution to ensure that no puddles actually remain in front of the door entrance (as previously speculated).
The "critical point" remains the wall connection to the new surface covering.
To prevent driving rain from getting in through the edge joint, a (new) drip edge should be installed at the base.
However, the old tile surface should first be diamond ground, vacuumed, and cleaned thoroughly with an alkaline basic cleaner (then neutralized with clear water).
Primer with 2K reactive resin, sprinkled with quartz sand 07/1.2, so that the adhesion between the old tile surface and the new structure does not fail later.
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Regards: KlaRa