Just wondering whether anyone with more experience on these aircraft can comment on whether autopilot will remain connected when first engine fails and if not whether there would be anything (other than a conscious pilot of course!) that would stop the aircraft rapidly losing control (which could explain the partial ping if the satellite antenna was no longer pointing skywards??).
The electrical system has a 'no break' power transfer so the A/P should stay engaged. The TAC will correct for the asymmetry with a bit of rudder input.