Then change the plan.
Instead of selling one hardcover at 22.99, sell 6 e-books at 4.99. Hey, more money!
People who want the hardcover will always buy it. People who want the book cheaper, will always NOT buy it. Just release the hardcover, paperback and ebook, for 22.99, 6.99 and 4.99 all at once, and everybody will immediately buy the version they want.
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