Is "Too busy/forgot to text back" a legit excuse?

Anonymous
So I'm talking to this girl, we're both teens, and after my very first text to her she didn't respond. I complained to one of my close friends about it(who's friends with her) and he asked her

"So what's going on between you and him" casually and she replied

"I got his text, but I was busy and was gonna text later. Then I when I got home I forgot to text him"

Anyway so not knowing my friend has asked(he didn't tell me till later) I used the 3 day rule and sent her a second text and she responded. Then we had a very short mini conversation, with her using emoticons and everything, and got to know some basic stuff about each other

Today the same thing happened, only I got a bit more personal and asked her about some of her hobbies, interests, etc, and me and her texted back very shortly(about 10 texts in total), and she replied just fine and into the conversation. However she stopped texting mid-conversation(ironically, around the same time as that first conversation) so I let it go and didn't send a 2nd text.

What do you guys think about all this? I'm not totally sure about her interest level in me, which is why ill try talking to her tomorrow, but I don't understand girls and their texting habits

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Is "Too busy/forgot to text back" a legit excuse?
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