Three dominoes, one square

It is pretty clear that you can completely cover a 2x2 square with two 1x2 dominoes.

However, if you have three dominoes, can you cover a larger square than a 2x2?

Assumptions : You have to cover the square completely, but the dominoes can be oriented however you like. They can overlap, they can be twisted, and not every part of every domino needs to be covering part of the square. And, you can ignore the little rounded corners of the dominoes.

For example, here is a failed attempt as part of the middle section (in red) is showing:

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Image credit: https://www.cdsboutique.com