"thats good, what kind of dog do you have"

Disclaimer: beginner here. I’d say your suggested responses seem a bit too long and over-invested. She’s fairly low investment so far so I wouldn’t be sending a long message and DEFINITELY wouldn’t be trying to number close yet. It doesn’t seem like she is into the cult banter so far unfortunately (no haha or emojis or exclamation marks and a very short message). So ideally you’d move onto a different topic or could write something short and teasing like “...I’ll believe you” or “yeah right” but I don’t get the sense that she’d bite on that. If you can think of a smooth way to move on then that might be your best bet