Need help with replacing damaged mosfet.

So long as it's K4213 or 2SK4213 with 'switching n-channel mosfet, TO-252 package' in the description it is mostly like same or equivalent part.

The ks07 or ks08 could be something like ordering options such as packaging (in a tube, or on tape and reel for machine installation vs. loose individual parts) so double check price. If on tape and reel the price could be for total qty of like 1,000 parts so very much more expensive than individual part packaging. Although, since this part isn't really suitable for new design (so not many people are likely to be setting up for high-volume manufacturing using it) they may be willing to cut down a reel to send you just the quantity you need, you may have to contact the supplier to make sure what you're getting.