How do I carry Kate to safety

Hint 1 of 9:

Have you read your manual's section about the arcade sequences?

Hint 2 of 9:

There is a tank driving arcade sequence.

Hint 3 of 9:

Does that give you a hint about where you will have to go?

Hint 4 of 9:

Go to the tank garage and get in the tank.

Hint 5 of 9:

Now, start the tank.

Hint 6 of 9:

You did remember the key, didn't you?

Hint 7 of 9:

If not, you'll have to restore, since you can't get it now.

Hint 8 of 9:

The key is not in the palace building.