I am a 20 y/o guy and I would like to spend time with a particularly nice girl who I only saw occasionally and it has been 6 months since the last time.
Past interactions
These have always been because of a mutual group of friends. My friends are friends with hers and so occasionally if there is a group cinema outing, party and once there was a picnic to watch a band play at the park, it is mostly just at these times that I see her. Now to be clear we have never been particularly close, I would estimate there were only 8 or so days spent together and they were spread out over a a year, ending 6 months ago. However in the latter half particularly, I would find myself spending the entire day chatting with her happily.
Current standing
Due to a combination of our friend groups shifting, and myself going from somewhat unsocial to non-existant after suddenly spending 50h weeks at a new programming job as opposed to the 5h I used to, we have not had any interaction at all in 6ish months. I have intended to contact her before this point via facebook, pushing friends to help or even "subtly :D" dropping into her work but the prospect made me quite anxious as I didn't know what to say and then next minute it's been 6 months.
Options
Enlisting help from a mutual friend in order to invite us both to a group event will no longer work as there was an awkward falling between the main two who connected our friend groups (not related to me, the girl or this question).
Edit: It does not have anything to do with me but I feel that in her friends' eyes I could be related to the situation, even if its only by association with the friend with whom they had the falling out with. This makes reconnecting with her friends in this group a whole separate question that I am not as worried about since we were on good terms, but I do think it should be done only after first reconnecting with the one who I am by far, the closest to. end edit.
Now, my current goal is to merely meet up and have a chance to reconnect/spend time but I think it has probably gone too long that to try and ask for something casual will be weird enough anyway so I might as well be more direct than in usual cases. I was thinking of using facebook to send a message along these lines:
Hi, I received two free tickets to this cool new movie. Is there any chance you would be interested in coming? I was thinking we could go grab some food from this place beforehand or something?
Either that or give up to the off chance we meet again. Does anyone have some answer for how to tactfully approach this situation to result in a good chance in spending time together?/Finding out if she even wants to spend time since there is a significant possibility I misread her signals and she has no interest in meeting me.
For reference, she is 20 and my ultimate goal is a long term relationship. But lets just start with meeting up for now.