The best I could come up with was:
Instead of going anywhere in the garden when a noun is inside, try entering the door of the storm.
Instead of exiting the barn, try entering the storm door.
With this wording, go inside / inside / inside everyone works when in the garden, and go out / go outside / outside / outside / leave / go out everything works when in the barn.
The asymmetry here is that out and go are interpreted as outgoing, special actions. (It is converted to an exit outside the "exit envelope to the exit rule", but only if the door or room is actually in the "external" direction.) If you go in and go in are interpreted as incoming from the very beginning; There are no useful steps to enter.
To do just enter , add:
Rule for filing a missing noun at the entrance to the garden: now the noun is a storm door.
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