Antoine has been given 3 Hourglasses H₁, H₂, and H₃ which are respectably able to measure out precisely 11 minutes, 15 minutes, and 17 minutes.
• Antoine is asked to measure out precisely 23 minutes, and he is permitted to use any 2 of the 3 hourglasses to perform this task.

What choice of 2 hourglasses will enable Antoine to achieve the said objective in a minimum number of steps?

Provide valid reasoning for your answer.

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