To connect a Playstation to the Wifibri PPPoE network you can use the following steps
First you connect the playstation wired to the wired Wifibri public network, then go to Settings
In the Settings menu go to Network
In the Network menu, go to Internet connection setup
Select Use a network cable from the following menu
Then click on Custom
In this list you choose PPPoE
In the PPPoE menu you are able to enter your data. Then click next and the Playstation should connect to the PPPoE network