I’ll have a bag of each vegetable

Fruit and vegetable store
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Boy: Oh, a bag of cherries. That’s a lot. That’s good.
I’ll take a bag of cherries.
.
.
.
Boy: Potatoes, onions, carrots, tomatoes, cabbages. I like them all.
Seller: Yes, of course, but how much do you want? How many of each?
Boy: How many? Ah, one of each, please.
Seller: That’s too little; it’s not enough.
Boy: Ah, two of each?
Seller: Hah, that’s too few.
Boy: Three of each.
Seller: That’s still too few.
Boy: Ah, ah, how about a hundred?
Seller: That’s too many. That’s way too many.
Boy: Three is too few, and a hundred is too many. I know;
I’ll have a bag of each vegetable. Just like the cherries.

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What does "I’ll have a bag of each vegetable" mean?

Does it mean "I’ll take a bag of each vegetable"?

Thank you