What is the ruling on coloring the متشابهات (ambiguous/allegorical verses) in the Holy Qur’an to facilitate memorization, and is it permissible to use the story of Prophet Musa (peace be upon him) or necessity as an argument to justify this action?

It is permissible to color the mutashabihat (similar verses) in the Quran to aid in their memorization and retention, because there is no evidence to prohibit that. It should be noted that there is no connection between this act and Moses's (peace be upon him) casting down of the Tablets of the Torah.