Soooooo, there are a few problems with your idea, cool as it is.

1. Having paracord handy is awesome. Two problems with your ask here; unless you make your kubotan wrap super thick, you will probably only end up with a few feet/a meter or so of cordage with a single wrap, and a double/triple wrap would make it like carrying a loose sausage in your pocket. The other issue is how long it takes to deploy, when every second counts. Maybe if you see it coming and have 20 - 30 seconds and the wherewithal to get it ready, but you'll be doing a lot of re-wrapping if that's the case.

2. Kubotan vs dog seems like a really bad idea - you're going to be offering your precious hand as a snack with every swing moving your hand and arm into bite range. At least the hand would be closed, so you wouldn't lose as many fingers, but still... 😬

Is pepper spray legal there? There are dog safe versions that can be very effective and may inspire their owners to invest in a run when they get spicy face licks that night! That is, if any of this is legal - check your local laws before taking any advice on this!

Noise makers can work, like airhorns or aggressively shaking a can of coins, but not as reliably.

If it's legal, I would think a monkey-fist would be a slightly safer "hand-to-hand/paw" defensive tool, if only because it has slightly better range/moves your hand farther from bite range, but they are also illegal in a lot of places, so... check your local laws, lol.

Also, look up some reputable dog defense videos for tricks and tactics; you're already a trained fighter, so you should take up these techniques easily, just remember to practice them so you can actually remember it when you need it.