looks like White sat back and Black took the initiative with .....e5 and ....e4.
4 Nf3 looks better than 4 Ne2 stopping.....e5 Black could continue to prepare ....e5 with ....Nd7. Then 5 0-0, e5 and White could exchange pieces on e5 bringing Black's Q up to e5. At least Black is not for choice in that position.
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