The Lady:
The Lady follows The Duke inside, allowing her companion right of way...
Orleon says he has to go look something up... he jumps on his vehicle and returns from whence he came, leaving behind most of the food and drink.
The Lady:
that any Madrid’s will encounter him first.
(??? Madrids? Is this Autocorrect for "monsters"?)
The Lady:
Seeing the room as it is, she can see that the fountain is the source of the water, and can gather that it’s rate of flow must be slowly ebbing as time goes by.
As it has been running over time, that valve control must be open ... but the source, as Juniper suggests, must be further inside the building.
Through yonder door.
Perhaps it is the entrance to said hallway of which Juniper speaks.
So The Lady casually glides over towards it, testing to see if it will open for her.
The doorway in question does in fact lead to a long hallway, about 40 yards or so. Its ceiling, too, lights up when one enters it.
At the far end is another doorway, open.
One problem that The Lady sees right away is that the ceiling is only 7 feet high-- cramped for their new tree-friend.
The second is that yes, a door starts closing at the far end right away-- and it's two feet thick, of a very, very sturdy metal.
If one runs, then even The Duke could fit through before it closed. The same is true for The Lady. She can see, though, how the same would not be true for Juniper (jr.)
The third problem is that the walls and door are extremely thick (the door itself is more than two feet thick) and extremely durable. Even The Duke can't harm them, nor stop them closing. The Lady, who has been around for quite a long time, suspects that the door closes using electromagnets, and thus would probably just crush anything placed in the space to hold it open.