Penguin's Hideout, The Final Offer

Upon entering the dungeon, defeat two enemies wielding knives. Be aware that their counter symbol is yellow and requires three counters and pulling away from their slash direction, or simply evading.

Proceed through the barred door behind the knife enemies.

Continue down the hallway and stairs to another barred door guarded by seven enemies, two with guns. Perform a combat takedown on the closest enemy.

Examine the drone in the northwest corner if desired.

Proceed through the north door, turn right, follow signs to deck 1, and go through another door.

In deck 1, take two quick lefts, jump over a hole, take a right, then a left.

Jump onto the railing and follow it across a large hole to a platform with an open door.

Through the door, use a ledge to jump down and fight five enemies, one with a bat and one with a makeshift knife. Start with a glide kick on the closest enemy.

Run to the ledge by the water and use your Batclaw to pull the raft platform closer.

Jump onto the raft platform.

Use your Batclaw and the rings on the walls to traverse to the other side of the room, latching onto the ring closer to the other side.

Make a right, two lefts, and use your Batclaw on a weak ceiling to create a pathway.

Grapple into the hole, take a right, a left, climb stairs, and go through a door.

Turn right and wait for steam pipes to stop blowing steam (use detective vision (a tool to see hidden objects and enemy positions) to see when they light up and are active) before proceeding.

On the other side of the pipes, grapple up twice, run along a catwalk avoiding three more pipes, take a left, and grapple up again.

Use your Batclaw to open a hatch on a ring (visible with detective vision) and climb through the hole.

You will drop into the fighting ring, initiating a cutscene (a non-interactive cinematic the game plays automatically).

Defeat the fifteen enemies in the room. Nine enemies will be present initially, with the remaining six dropping down after you defeat six of the first group. Be cautious of enemies with knives.

Interrogate the surrendering enemy to end the miniboss fight.

Exit through the north door into the "Medical Ward."

Go right and up the stairs to the upper half of the fighting ring.

Take a left and go through the door on the right side of the room.

Jump off the ledge in the deck access chamber, go under the catwalk, and through the corridor.

Slide under a wall and up into a hole in the wall.

Follow the vent to the end, fall, and use explosive gel to break the wall of ice.

Immediately grapple to the ledge that appears after the ice wall is gone.

Grapple up once more, turn, and jump onto a ledge to hang from it.

Move right while hanging around a corner until you can grapple again.

Jump forward and glide to the next, lower platform, then grapple up to the highest walkway.

Hang from the ledge and deal with the two enemies on the top level, performing a ledge takedown on one.

Follow the path up a stairwell and through a door to the ship's upper deck.

Follow the hallway and deal with three enemies (one armed) around the corner.

Continue through the barred door and look up to see a ring and a weak ceiling (visible with detective vision).