Thank you for the kind words and thanks for the feedback. I'm not sure what you mean by the blue key stuff or "I missed to pick the hook". Could you be more specific?
Sure.
What's certain is that I "open"ed the door and it opened before I removed the tile where the blue lock is.
I don't know if the door was always unlocked from the start or not.
I don't know if I owned the blue key or not at that moment.
I don't know if I ever used the blue key or not on the spot (before revealing it), it's possible that I did.
Don't bother with the hook, I mentioned the hook because the bar with the hook is what helps you get the bottle where the hint about the location of the blue lock and I didn't have this hook (nor the hint then) when I opened the door.