You draw one card per basic land type, not for each basic land. This makes it a maximum of 5 cards.
2004-10-04 · Wizards of the Coast
Domain abilities count the number of basic land types among lands you control, not how many lands you control or how many of any type.
2021-06-18 · Wizards of the Coast
The basic land types are Plains, Island, Swamp, Mountain, and Forest. Land types other than basic land types (such as Desert) don't contribute to domain abilities.
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