Will Tuxedo continue to be used in a PeopleSoft/WebSphere or PeopleSoft/WebLogic environment? | PeopleSoft

Yes.
WebSphere or WebLogic are used as the IITTP server and servlet engine. They are not used as middleware with the PeopleSoft Application Server. Tuxedo is always used with PIA, regardless of the HTTP server or Java servlet engine.