How can a tug be referred to as company?
I just saw BowlOfRed's comment, and listened to it again and I could make it out this time as "Tug 1 and Company". So, basically, when used with vehicles, using "and company" will often indicate that there's more than one vehicle in the group(or possibly aircraft in tow), and whoever's being addressed is in charge of talking for them. Just like when a flight of aircraft is flying or taxing, whoever's talking for the flight, that callsign is used for the whole group.

For other examples of "and company": During snowplow operations, usually you'll just have 1 driver in a group talking to Ground/Tower for that group, and they're also in charge of reporting when all their group is clear of runways or other movement areas. Other times, it's when airport operations is escorting(via vehicle) other vehicles on the airport, from survey crews to construction crews.