Is the intended meaning of "completing the recitation of the Qur'an" (khatm al-Qur'an) to be from memory or from the Mushaf, and are there specific conditions for it?

"Khatm al-Qur'an" (completion of the Qur'an) refers to reaching its end, whether by recitation or memorization, and both are linguistically correct. A Muslim must recite the Qur'an with contemplation, take heed of its admonitions, act upon its commands, and refrain from its prohibitions. There is no specific condition for completing the Qur'an.