He knows that I'm working that time, and I told him that he can just text me whenever I'm working but I will not be replying him during my working hours. 

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It means nothing just shows he dont know or care for the rules on dating and how people interpret things
you've asked this before.
he's just keeping you in the loop of whats going on.
Opinion
2Opinion
He's really into you?
What makes you think so?
Repeating texts?
But a guy who pretending to like you can also text repeatedly?
That's true.
it means you need to respond faster
How to respond when I'm literally working, taking care of patients in the hospital? 😬
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