Hmm, that is really tight then... Our door is on the west side (so the weather side) and, when we are at home, never locked. Still, not even during torrential downpours does any water get in.
As mentioned, our site manager said that doors are never "waterproof." I can understand if there is water standing in front of the door, but our entrance area is elevated, so there is no water standing. So it can only be water running off the door.
Have you identified where the water is coming through? For example, we have rubber seals everywhere. At the bottom would be the weak point for us, as there the rubber runs against the aluminum strip and not against the frame.
The first time I placed a carpet runner inside the door to see where it gets wet. Inside on the right side of the door under the locking cylinder and - slightly less - on the left side. Yesterday, we had it again on the right side. It did not rain as heavily as the last time. However, we had a "normal" thunderstorm, so no floods.
I have just checked that, of course only "amateurishly." Apparently, the seals already touch the frame. But from the outside at the top left, that is above the lock, I can squeeze my finger in between. We also bought an infrared thermometer in winter and found that on the inside of the door, at the seals, temperature differences of 3-4 degrees sometimes occur.