Followup Puzzle to "Challenging King And Pawn Ending"

Can white hold this position? It is a derivative of the previous puzzle I posted.

2k5/8/4pp2/8/4P3/8/4K3/8 w – – 0 1

Comments
No. 1-2
e4 draws
e4 draws

e4 draws

Alena
Alena

White can't hold this position because the black king has opportunity to go around the black pawns.

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