How far will rain clouds travel inland?

I am writing a story that takes place in a big desert. I've figured that I could make my desert as extensive as possible by building a Pangea-like supercontinent, since I've learned here that, given the distance, eventually the clouds from the surrounding seas will exhaust their water.

However, I want to know how far from the coast I may extend my desert. Let's assume a planet with the same conditions as Earth and let's assume that the continent is as plain as possible (so as not to have rain shadows as a confounding variable).

How far will the rain clouds travel inland? What's the distance from the coast where I may place the desertic climate?

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How far will rain clouds travel inland?

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