"Game more girls and you won't have this problem" - I know but still I'd like to know

How do you determine hard to get vs not interested? How far can you pursue someone whos playing hard to get without being too clingy?

I keep reading on the forum that you have to pursue, be sexual and show interest and that girls like to be chased. I'm worried if I'm displaying too much or not enough. But then I might be doing everything right but you don't win them all! Thinking of not initiating any more contact with girls who play hard to get and let her do it to see if she's interested, but then that's not chasing like what girls like.

General advice/reading please.

Edit: I removed most of this post, I thought the situation I was giving as an example may influence the answer to the questions.

Just ask her out. Yes, go out and have fun. No, simply wait for a week or two and ask her out again.

There is no hard to get girls...one more thing, don't focus too much on result, just treat it as making new friends and have fun.

this is the answer you are seeking, following by this will allow you to figure out the answer to your questions
continue to go out and meet women until you find what you are looking for, just because you next a girl and re-prioritize her on your team to a lower contact order in your pipeline does not mean you never contact her again, it does not mean you cut her from your life just because you are meeting new girls, it simply means, one girl gives you problems, go find a girl that doesn't give you problems, and let time fix your problems for you, you will naturally be able to pursue girls without being clingy/needy or dependant on an outcome with them... why? because you have other girls in the pipeline and hopefully some of them will sleep with you and it would be a waste of time to chase some girl who is giving you more problems then other girls higher up in the pipeline, you just establish that pipeline and stay in contact with it, constantly prioritizing girls, until you have a few that are sleeping with you, or you choose one you want to date exclusively, pretty much that simple
There is no right or wrong per-se since what a person likes will be subjective, it is the same for guys as it is to girls, one guy may like a girl tell him he is hott and tell him she wants to give him a nice blowjob in his car, another guy might like girls that come up and say hi to him then smile and act coy and shy and make him work for 20 minutes before she says I have a nice game of cards at my house if you want to play, it is a matter of personal taste, some approaches will be too forward for some girls, while other approaches will be too passive for some girls, I like to think of it like this, girls forgive advances, but they never forgive pussies, if you are too passive and never make a move, there is a good chance she will never make that move either as girls are naturally more passive and submissive then guys, so basically you not making anything happen will give you the same results as trying to make something happen and fail,

and on top of that, if the girl just finds you attractive in general you have alot more room around what her preference is, where as if she finds you un-attractive in general, just about any approach will not work, there is no one size fits all approach

Makes sense.

The reason for my post was this girl I've been talking to recently and trying to get out on a date. I saw her in the street and literally had to go as I was getting in a cab so no kino or PUA. Then we started texting and I told her we're going out on a date (I didn't set a day or anything, long story why) and she seemed really up for it. Few days later I came up with a day she said she's busy and said possibly after work. So I suggest a time and ended up as a maybe and I left it at that. Half interested half not interested. Big IOIs the next day but didn't want to ask out on another date.

Don't really know how to play this. Trying to find more girls but it's proving hard.