It's been awhile since I did that part, but I'm quite sure you're missing something. If you go through the door to the north east of those trees you should be able to head on farther in without needing any bears.
~Mirror, mirror, on my floor, am I the prettiest at the store?
You can come to the other bear from north of it either via a door just east of where the bear in the northeast of the map sits, or (IIRC) by going through the pink flower passage leading east from the room behind the bear that spawns in the northeast.
Often, when you try too hard to act superior, the opposite occurs.