You can try binding your foot pedal to "Duplicate Track" with Control Link while having ...
- The option to monitor the selected track on. "Instrument Input Follow Selection"
- Having your midi keyboard setup as default so it always assigns to new tracks.
If this works as expected hitting the foot pedal (or triggering the Duplicate Track function via some other means) should duplicate the track, put it into record and monitor, and have it also automatically assigned to the same instrument.