About Planck bricks

Friday puzzle from Arnold's collection for children 5-15 years old, with a small author's addition:



By placing (as needed) several identical bricks on top of each other, you can form a canopy of length x. What is the longest canopy length achievable if the brick is 1 meter long and cannot be moved less than the Planck length (approximately 1.6 * 10 ** - 35)?

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