Bordered Floer theory has proven quite useful for studying satellites. In this talk, I’ll discuss how to use gradings in bordered Floer theory to study the Floer thickness, 3-genus, and fiberedness of arbitrarily twisted Mazur pattern satellite knots Q_n(K). We’ll show that for all but two satellites, Q_n(K) is not Floer homologically thin, we’ll give an explicit description of the 3-genus of Q_n(K), in terms of the framing n and the 3-genus of the companion K, and we’ll determine the fiberedness of Q_n(K). If time permits, we’ll also verify the Cosmetic Surgery Conjecture for many of these satellite knots. Most of this is joint work with Ina Petkova.