Hello, the rule in these cases is 'the less you do, the better'. If you attempt to do any significant color matching the floor will look blotchy.
Use rubbing alcohol to clean the floor, small areas at time so that fumes do not build up, leave all the doors and windows open.
Then a *rub on type gel stain, a few shades darker than the floor, after it is applied and sits for a seconds, wipe it all off with a rag until only the scratches are filled with the stain. Then after 48 hours wax or clear doat the entire floor.
The risk with water or oil based clear coats is that you must experiment with them to see which one will stick, that will depend on what the original floor was stained with and what kind of wax was used to maintain the floor...in virtually all cases you have to get rid of *all the wax before a clear coat will work well. That is why you might just want a rub on stain to fill the scratches to some degree (do not try for perfection or the floor will come out blotchy). Then wax after 48 hours.
Try a small spot, the size of lime first... practice on a few of those small areas until you get good at it.
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