a) Who said anything about that? In the four comments prior to this one, that set of requirements wasn't brought up.
b) Yes, you are absolutely overlooking something. On the Products page, try expanding the "Features" widget of the "Product filters" section, checking the "PoE-in" option, and hitting the "Use filters" button. Even the AP I mentioned with the 10Gbit SFP+ cage has PoE in.
I tried again, and I see only mANTBox and NetMetal ax access points. Both are designed for outdoor deployment and would be very awkward indoors.
I'm not sure what you've done to only see those two APs. Based on your confusing report, it seems like you're also looking in the "Wireless systems" category. Try the "Wireless for home and office" category.
If you try and fail again, please do post the URL of the page you're looking at.
But I've just checked the Mikrotik hardware list, and I don't see indoor APs that are PoE-powered and have more than one Ethernet port. Maybe I'm overlooking something?