This is only possible with a rogue or warrior.
Step 1: Find rat near ah, use a non damaging attack, as a tip for rogues, i would use feint as it aggroes but does no damage and does not enable auto attacking.
Step 2: Keep said rat aggroed until it wanders around to the right spot, aka by the large tree by the auction house.
Step 3: Be patient, most of the time the rat will not go near the tree, and will drop aggro before it does.
Step 4: When the nice little rat goes near the tree, shadowstep or intercept, thus you will be in the tree.
While in the tree, you can get to the center and none of your tags are visible, which is useless, but fun.
Have fun!