Is she interested?

A little over a year ago I matched with a girl on a dating website. We really hit things off so I asked her on a date. Well she had plans then she said she wanted to just be friends. Well now 2 weeks ago her boyfriend broke up with her and a day later my girlfriend broke up with me (I swear it was a coincidence). We both started talking a little bit here and there again then this time she asked me if we could hang out sometime to "get rid of the bad energy out of our heads". I agreed but we both don't know what the plans are because of the cold. We are "hanging out" Friday night and a little nervous. I plan on taking her to a restaurant then something fun. Am I over thinking this and investing too much this? When she was with her boyfriend I confessed my feelings for her and said we should limit our interactions but now we are both single she wants to hangout. So do you think she is interested or do you still think she is doing this to pass the time? I don't want just sex from her but a future. So I really want to put my best foot forward.
Is she interested?
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