If we keep the same time frame, it leaves only about 5/6 weeks for the Germans to reach their objectives.

Large scale combined arms maneuver was very much slowed down from (approx.) 20 of october until 8 of november because of the heavy rains/mud, and then almost stopped from 30 of november on, because of cold, before the Soviet counter offensive backlash.

About weather, it's not about Russian soldiers being more resilient to cold or mud, it's just that it put more strain on Germans because of much longer supply lines, lack of training and operate machines under such conditions (for example the German airforce had only very few concrete layered airbases near frontline, which made it very difficult to operate planes because of the mud, and also very few equipments and methods to prevent planes from "freezing" in the cold), and lack of winter equipment (even if, contrary to some beliefs, some Soviet units had to wait until february 1942 to get winter gear).

Maybe, if AGC had been reinforced like TAG says, it would have been able to cut its way fast through Soviet very strong defenses, like it did before in Brest or Smolensk for example, but it would have been very hard in such a limited time frame.

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