Even though they had returned to their room, they were already pretending to do stuff while watching what the Mechanical Hound was able to search with the help of the System. The invisibility module continued to be working as long as the hound did not exceed a certain temperature. At most of the time, this temperature threshold only happened if they were to fire their weapons at their enemies.
Therefore, there was not much fear that the invisibility module should continue to work until he reached the marker. Thankfully, it did without too much of a hitch. There were some road blocks but they never cover the entirety of the area, allowing the Mechanical hound to bypass most of them without a problem.