It's more likely that we'll have to put one together ourselves.
All good paddles need a handle and a paddle-y bit.
You won't.
Everything you need to make one is currently in the area, though.
You have to repurpose some wood to create a handle.
By 'repurpose', I do of course mean 'chop up'.
Use the hatchet on the cart handle to break it off. This will do nicely!
Look for something in the area that could fit our handle inside of it.
You're not looking for something made of wood.
?
The 'Blade of Spade' will do the job.
We need to fix the wrecked boat before exploring further.
Remember - Nuri gave you the ability to use her repair magic.
Hey, it's basically a spade, but it'll work!
Combine the paddle's pieces and use them on the repaired boat to travel deeper into the swamp.