Watch the video, it goes in depth on their tank production methods, and specifically the inefficiencies within it.

They dominated the battlefield with their abundance of mechanization.

Germany strongly pushed that exact propaganda, especially at the beginning of the war. They wanted their military to be perceived as bleeding edge. That perception has stuck, but it simply wasn't true. Germany was not nearly as mechanized as it wanted to be perceived as. Any early advantage it had from stockpiles of pre-war production (of early war designs which were often outdated by mid or late war) were absolutely crushed by allied numbers, and America alone vastly outproduced for almost every year of the war.