Good luck with the project !
BTW, going by the vids, the sprocket looks like it's a goner.
Chances are it - and the chain - has never been replaced if it's very slack.
If the rear wheel is near the aft end of its adjusting distance, the chain is gone - similar system to pushbikes, just sturdier.
Bike chains are pretty much standard - from what I can find, a CBR600 of that vintage uses a very common 530 chain.
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Strayed to the Dark Diesel Side
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