scarf to sock is a quick career, yup
The pattern looks ok to me.
it now wants you to get rid of the wraps, because you would see them on the finished sock.
so: do like in cat bordhis video when you get to a wraped stitch (yup, you can just count up to them, if you prefer). if you do that, the wrap ends up on the needle
like a stitch. it is none, though.
Remember her thing with the ladies and the necklaces? Have you actually found the necklaces? once you have, you know what you have to lift onto the needle.
but careful: you may not have twisted your wrapped stitches as Cat does (the regular instructions do not tell you to, so you would usually not have done that). so you first have to take the stitch that was wrapped and change its orientation (let the lady become gay

), then you knit the 2 tog (that stitch and the wrap).
which way you turn it? move it knitwise to the right needle and back purlwise. the wrap (picked up onto the needle) and the stitch will then lie seamlessly and smooth by one another and can be worked together through the back loop.
I do think the pattern means "next stitch" as the stitch after the 6 knits. the wrap will fall behind it, if you take it onto the needle (and then becomes confusing about the "next" thing), but I have seen people do that "non-concealed" knitting tog that Cat shows in part 1. and then you do not have the wrap on the needle, you know? then you knit 6 and then knit the wrap and the next stitch (the one after the 6 knits) together.
go ahead, your scarf days are gone anyways. be adventurous and keep it up!