What is the legal status regarding invalidating Hajj for specific categories of slaves?

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The ruling concerning a Mudabbar (a slave whose manumission is conditional upon the master's death), one whose manumission is suspended upon a condition, Umm Walad (a female slave who has borne her master a child), and a partially manumitted slave is the same as that of an ordinary slave (Qinn) concerning the matters previously mentioned.