What is the ruling if a sick person states, 'If I free Sa'd, then Sa'eed is free,' and then frees Sa'd?

Primary text

If both Sa'd and Sa'eed's manumission fall within the sick person's one-third (of the estate), then Sa'eed is also freed upon Sa'd's manumission. If only one of them can be freed from the one-third, only Sa'd is freed, and there is no casting of lots between them. This is for two reasons: firstly, because Sa'd's freedom preceded the condition, and secondly, because the manumission of Sa'd was a condition for the manumission of Sa'eed; if part of the one-third is depleted, the manumission of Sa'eed is also invalidated due to the failure of its condition. If the remaining one-third is sufficient to free part of Sa'eed, the remaining portion of the one-third is used to free a part of Sa'eed.