How should I act with the guy that turned me down?

I asked out a guy who tutors in one Of my college classes at the end of the semester. He had been flirty with me and I thought he was very cute so decided to go for it and ask if he was single on the last day of class (via text). He said he was flattered, but has a girlfriend. I responded that is was a shame but to have a great summer.

I'm fine with the fact that he isn't available but now I'm worried it'll be super awkward next semester when we will inevitably be working together again. Any advice on the best way to handle it?

(we're both in our mid-late 20s FWIW)
Updates:
+1 y
Seen as people seen to be misunderstanding my question. I don't care that he's taken. I'm not asking how to act to try and get or pursue him. I just feel a bit embarrassed after putting myself out there and want advice about that.
How should I act with the guy that turned me down?
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