The Postal Dude (POSTAL) moves to Gotham City. (DC Comics) How long does he survive?

Sometime after the Dude's misadventures in a post-nuclear Paradise in POSTAL 2: Paradise Lost, he has since hit the road to live elsewhere with his dog Champ. Instead of moving to Edensin, Arizona, thus beginning the events of POSTAL 4: No Regerts, he makes a long trip, stopping along the way, before eventually reaching Gotham City, very far in the East Coast.

With a new town to call a home, far away from the Dude's home state of Arizona, he has to, of course, do a few jobs in Gotham City, whatever they are, to get some income. And also, survive for at least one week. Because it is Gotham City, it is expected that he'll come across some undesirables along the way.

Notes:

• Postal Dude does not have access to all his guns at the start, but is free to use whatever he gets throughout.
• Anything is possible, as long as it's within the Dude's abilities.

SCENARIO:

Round 1: In character. The Dude will not actively start fights, but if pushed hard enough may start going on a killing spree until he gets bored. He may also start going on a killing spree at random, still fully aware.

Round 2: Bloodlusted. The Demon that once "possessed" a man back in 1997 (POSTAL 1) has come for the Dude, forcing them to go on a killing spree. The soil of Gotham City is hungry. Its heart throbs and demands cleansing. The soil is also thirsty.

Round 3: Same as Round 1, but every major character living in Gotham City is fully aware of the Postal Dude's actions back west, including Batman.