Thank you for your input, Gav!
I still haven't had the chance to take apart the engine and measure bore diameter, pin diameter etc. However, I've been looking for a replacement (180cc or larger) and it has proven a wee bit more difficult than I hoped for. For one thing, I haven't seen a new 180cc 4T LC replacement kit anywhere. I did however find this 200cc cylinder kit:
https://www.sip-scootershop.com/en/product/cylinder-sip-200-cc_PI843291?q=cylinder%20piaggio%20leader that is being sold for a (sort of) reasonable price.
Has anyone bought anything from this shop? Could someone more experienced take a look at that cylinder kit and see if there are some signs that it wouldn't fit?
Once I actually take apart my engine, I'll try to update this thread as well.