When you've acquired all 10 of the Eddie Winter holotapes, you will be directed to, "Talk to Nick," at which point, he takes the holotapes and temporarily stops following you, instead, he makes a mad dash to Andrew Station. Within Andrew Station, as the Wiki says, he runs straight into mines and every enemy. A handy workaround to this inconvenience is, after collecting the ten holotapes, don't talk to Nick just yet. Instead, take Nick to Andrew Station, clear it with him still following you, go right up to the door to Eddie Winter's room. Only then should you talk to Nick. He will take the holotapes and walk up to the keypad locked door. From here, the quest proceeds as normal, without having to chase after Nick while he runs over half a dozen mines.