When Alina first tells John Myers her name, the part and associated curl in her hair switches from the left to the right side on the last take. This happens before she exits the house.
Myers and his team wear shoulder patches indicating they are assigned to the headquarters of Patton's Third Army which, during the Battle of the Bulge, was totally occupied with shifting the direction of attack by nearly half a million armor-heavy troops 90 degrees. They would then march them 100 miles in a blizzard, one of the greatest tactical and logistical feats in that theater of operations. They would not have been involved in an airborne commando operation behind the lines.
As the weather had cleared up at that point in the Battle of the Bulge, a tactical airstrike by fighter-bombers or medium bombers would have had a much greater chance of success at destroying a German-held bridge on the Our River, with less risk of American lives, than parachuting in a commando demolition team to infiltrate while disguised as German troops.
Even if a small village in the middle of the Ardennes Forest of Belgium, between Allied and German lines, somehow had a working electrical power source at the height of the Battle of the Bulge, common sense would override the use of outdoor lighting at night.