Now I've read the mystery method and the game. What I've learned is that when approaching a group don't show much interest in the target at first, which will make her wonder whats going on and start to try to get your attention.
Now what about when approaching a single girl? Then you're already showing a lot of interest in her just by talking to her if she's a complete stranger right? Then you won't have the option to give her less attention because there won't be anyone else around her whom you can turn your attention towards.
Doesn't the whole mystery method just fail in this case? I mean how do you not show interest when you're already showing interest?

Good question. With larger sets it's already a little more difficult to open and run your routine, simply because you have more people, more variables, and you need to exert more energy. That being said, you can use the extra people as an advantage to help make up for the disadvantages. You can do that by displaying passive disinterest to your target in order to pique her curiosity about you. But that doesn't last very long. Eventually you have to focus in on the target and you should only give attention to the others in order to keep them involved and entertained or to freeze out your target if you need to punish her for something she says or does that you don't like.

With one-sets you can utilize active disinterest, which is where you engage her but you don't really act like you are attracted to her (which is different than completely ignoring her). Maybe tell her to hold your drink while you go take a piss. That's also a way you can shit test her. However, this shouldn't go on for too long because you'll need to quickly transition from comfort/rapport to attraction building. Generally your implementation of kino will be how you bridge over. There's other interpretations of this, but that's what I gleaned from Mystery and Style's techniques.

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“Nothing is impossible, the word itself says 'I'm possible'!” ~Audrey Hepburn

Use an opinion opener when you approach her. When the conversation gets going start showing some interest in her subtly to set the frame that.......

You approached in an impartial mode uneffected by her looks but as you get talking you find her interesting. If the girl likes you she will keep the conversation going long enough for you to DHV. When she shows signs of attraction match them in a reciprocal manner all the time giving her the impression that you're screening her still though. Watch out for shit tests though.

How would you go about it with daygame?

I mean when you say open a one-set and talk as if you're not interested that in my mind would be a pretty AFC move won't you think? You won't stand out by saying "Hi, I'm.... who're you?" would it then be better to make it completely random and be more like "Hi, do you have the time?" like you're talking to her only because you geniuinely want to know the time, or take it all the way out and be as direct as you can be, something like "Hi, I noticed you and just had to come over and talk to you"?
With a single-set would you say it's more about body language and IOI's then what you're actually saying?

Mystery's method as I understood it is perfect for a group-set. Because that gives you the advantage to standout to girl by being really close and still act uninterested. With a single-set I just don't see how i can standout to a girl without being too direct or too AFC.

I liked the sound of that! That's something i'm going to try.

Nearly all women want to be swept off their feet. In daygame you need to be totally in the zone to pull it off but remember most people live boring prosaic lives and long for excitement so become the catalyst for their dreams. They won't forget it and it sets you up as a very high value boyfriend.

Considering Mystery states that women of exceptional beauty are rarely found alone, this only makes sense. This is especially true in high octain/target rich environments like clubs and bars. Sure, plenty of hotties will run out to the mall or go do errands by themselves, but that's because they are doing some task they need to get done then going back to their boyfriend or husband later that night. They aren't just "hanging out" waiting for guys to hit on them the way they are in bars and clubs.

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“Nothing is impossible, the word itself says 'I'm possible'!” ~Audrey Hepburn