Your half-brother's half-sister could be your full sister, or not related to you at all.
For example, say your parents are Joe and Mary and your half-brother's parents are Mary and Steven. Say your half-brother's half-sister is Barbara.
If Joe and Mary are Barbara's parents, then she is your full sister and your half-brother's half-sister. If Barbara's parents are Steven and Jane, then Barbara is not related to you (unless there is an adoption).
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