Assalāmu ʿalaykum wa raḥmatullāhi wa barakātuh, Sheikh, Would you recommend memorizing the full hadith, or would memorizing the green text be sufficient? JazākAllāhu khayran.

Memorise the wording of the hadith itself and do not burden yourself with the chain, that only makes it harder. Do your best with the exact wording so that you do not change a word that changes the meaning while thinking that it does not.