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ANE had West Eurasian genetics - they were among ancestors of modern Europeans, Native Americans and South Asians, but not among ancestors of modern East Asians. Whether they looked like "modern Caucasoids" is another question. At that time (25,000 years ago) nobody looked exactly like various groups look today.Obviously ANE in their unmixed state probably didn't look fully caucasoid.
For example Upper Paleolithic people in Europe looked like this (according to reconstructions):
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