What is the ruling regarding the division of time when a female slave (Umm) is manumitted during her stipulated division period?

Primary text

If a female slave is manumitted during her allocated division period (qism), an additional night is added to her time to equate it with that of a free woman. If manumission occurs after her period has concluded, the division period is restarted and made equal among all wives/concubines. No time is compensated for the period passed, as her right was fulfilled when freedom was attained. If she is manumitted after the husband has already allocated one night to the free woman, she is not given more than that, as they are then equalized.