Are three "i'm busy"'s after a first date enough to know that she's not as interested as you are with her?

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In general, if a girl does not want to work out a time with you for a date, she’s not all that interested in the date. If I get just one “I’m busy” in response to a proposed date, I’ll say something like, “ok then, some other time,” and then instead of “see ya later,” I’ll say, “good bye,” with a note of finality. I’ll wait a bit to hang up on her in case she changes her mind but once I do, I no longer contact her.

Get better at first dates, then she’ll be more eager to want a second.