Is the Mephisto Phoenix also connected to Lichess or Chess.com via WIFI?

Yes, the integration of the ChessLink app is firmly planned and should take place in the course of 2023. The app will then run directly on the Phoenix module and enable play on Lichess directly from the chess computer.
A connection to Chess.com directly from the chess computer is unfortunately not possible, since Chess.com does not have an open interface and thus cannot be controlled by the ChessLink App. A game on Chess.com is of course possible via the Millennium Mephisto boards in connection with the ChessLink module and a mobile Android device.