Dorfman PacificDorfman Hat Co. Men's Soaker Hat with Mesh Sides (Large/X-Large, Tan)

Does it come with a string?

I have one of these hats from a golf store size large/extra large the model number ends with nat whereas this number I wand to order ends with nat3

Wash in machine warm water detergent????

What happens when the hat gets wet? Does it lose form?