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Actually, no!

You can't move directly north, you have to move around to get throuhg the door. If you want to get inside, it will cost you 3 actions meaning you cannot search or attack after doing so.
Additionally, you will have positioned yourself in such a way that next turn the Hulk will engage with you in melee, and you probably don't have a melee weapon.

It is better if you move west, then north and stand with me in this square. Then next turn the hulk will move down and you can shoot it. If you fail, and it attacks us in melee I can protect us with the axe