428, 122 links. Adding 2 teeth to a sprocket does not automatically mean adding 2 links to the chain. Australian TW200s have 14/45 sprockets and a 120-pitch chain. TWs for most of the rest of the world have 14/50 sprockets and a 122-pitch chain. 5 teeth difference, 2 links difference. I swap between wheels with 50 and 54 tooth sprockets and do not change chain length.
Set pitch to 0.5. You'll see that going from 50 to 52 teeth will only change the center-to-center distance 0.273542inch, or 6.9479668mm. Hardly worth considering unless the stock parts butt the adjusters up to the limit when new.
There really is no significant money to be saved buying custom cut chain. The price per link difference between cutting off a bulk roll is about the same on a chain the length a TW uses as the cost of the master link, which comes free with boxed chain.
The advantage of cutting a boxed chain yourself is you have the leftover links to add to your tool stash. A few links, a couple master links, the right tools and knowing how to use them, and a damaged chain that would otherwise leave you stranded is a 10-minute fix. Take my word for it, two master links and a single repair link can be priceless when you need them.
What most people don't realize is that any of the chainbreakers linked above can, when thoughtfully and carefully used, function as master link sideplate press, making quick work of installing the sideplate and clip. Usually a small pair of needlenose aids in driving the clip home in its slots, but keep your finger on it so if the pliars slip the clip doesn't go into orbit. I carry 2 master links and a pental (4 pins and 2 pin holes, 5 links) section pre-cut. I've never seen anyone damage a chain and need more than a pental section for repair. I've seen lots of people unable to repair for want of a 2nd master link, though.