The total invasion force was 9 divisions. So that's about 40,000 tons a day. This is NOT "one freighter" unless the Bats have transported something very large through time for the Germans! It's more like a dozen.
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Just to clarify on the supply issue. The US Army fought WW2 with the most heavily mechanized, oversupplied army in all of history to that point. It required 66lbs per man per day. Assuming a division is 16,000 men, a German army of 9 divisions is 144,000 men. If 144,000 men required "40,000 tons" per day, that translates to 555 pounds per man, which is 8.4 times the amount required by the US army.
A realistic figure would be 35 lbs per man per day. For 144,000 men, that's around 2,500 tons.