So I finally got out of Undead Burg and made it all the way to Undead Parish, and now I'm at the building with Andre and the Titanite Demon.
The first few times I fought the demon I brought him down to like a third, but now I'm failing miserably. Any tips for taking it down? My weapons are Astora's straightsword and Knights shield.
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You need to go back to the nearby church, there is a boss on the top of it, after that, go back to the bridge with the dragon and unlock a door to find a new path, but you need the key next to a gate to unlock it.