Mollweide conversion request

I have this map of the Earth during the Eemian interglacial, around 120 thousand years ago, courtesy of Deep Time Maps:
120-Ka-Moll-Interglacial_GPT-min-1.jpg

Would anyone here be gracious enough to convert this map into an equirectangular projection? I need it to fulfill one of the requests on my paleogeographic map thread. Thanks!
 
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