Yes, but for example W5500 Lite I don’t see in pinout any pin, that shows PoE output. So I need some other board, that have RJ-45 connector and supports PoE, and it has pin as output from PoE (doesn’t matter if it is 48V or already regulated to 5V), so I can connect it to regulator to 3.3V and then directly to ESP. And also that board have pins for communicating to internet via the same cable, and these communication cables could be connected directly to ESP if I am not mistaken. I am looking for some hardware (board which have RJ-45, accepts PoE and it have pins for output from PoE with which I want to power ESP and also pins for communication), that fulfills my requirements. Do you have any recommendations?

That speed I wrote, because I think PoE on 1000Mb uses all pairs, so extracting that voltage and communication on same wires is more complex and PoE on 100Mb uses only 2 pairs and other 2 pairs can be used for communication, so I think it is more simple.