The First Army had a lot of shifting to do to back up north and south of Mortain. Collin's VII Corps sent the 4th. Infantry Division NW of Le Messnil Tove.The 9th Division was near Clarence le Boussel. To the south of them the 2 AD was sent around Barenton. To the far south was the 1st Division The 35th Infantry Division was sent to St. Hilair– Martain road. The 3AD attacked in several places just north of Mortain. So it was not just one Division protecting Mortain, but a lot of the 1st Army. The 30 Division was able to reenter Mortain and relieve their men on hill 317 on August 12, after the Germans pulled back during the night of August 11.
Hitler's plan failed, as he did not have enough fire power to get past Mortain, and there was little or no air power for support.
This was the main cause of his troops getting caught in the closing of the Falaise Gap by the Third Armored Division and the British trapping some of the German 5th. And 7th. Army. He had taken too many divisions from the British sector which aloud them to move toward Felaise to meet the First Army at Argentan. German Losses were over a thousand tanks, and over 200 thousand troops killed or wounded.
von Kluge was certain that Hitler had found out his being in the coop to kill him, and took his life on August 18 near Falaise. Rommel still recovering from his wounds was forced to take poison on October 14th. Hitler had three Field Marshals ( Witzleben, Rommel and Kluge) put to death and dozens of other Generals were executed, expelled or dismissed. All told there were well over a hundred officers and civilians put to trial and executed.
Hitler had shot himself in the foot so to speak. He did not and would not take advice from his Field Marshals. He had no planning or advisory team like General Eisenhower, and acted only on his own.
He suffered many setbacks, such as Mortain, Falaise Gap, Mons, Entrance into Germany, Battle of the Bulge. And one of the lasts was when the First U. S. Army seized a bridge at Remagen on March 7th. The Third Armored Division after capturing Cologne, later raced just over a hundred miles in a single day to close the industrial area near Paderborn and liberate The Death Camp at Nordhausen while losing their leader Major General Maurice Rose.

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