The AI detectors are pretty useless currently. But I ran the Poe text through 3 that all got it right.

https://gptzero.me/
"We are highly confident this text is entirely human"

https://quillbot.com/ai-content-detector
"0% of text is likely AI"

https://copyleaks.com/ai-content-detector
"No AI Content Found Percentage of text that may be AI-generated - 0%"