Brown Dwarf effects on a habitable exoplanet orbiting the same star

Suppose there's a planet in the habitable zone of a class F star, a bit smaller than Earth and about the same density, with 80% of earth's gravity. How far away from the planet would a brown dwarf orbiting the same star have to be in order to act like Jupiter does in our system, shielding the planet from extinction-level impacts for a long enough time for complex life to develop?

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Brown Dwarf effects on a habitable exoplanet orbiting the same star

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