4週4日目 知りつつ
Perspective・object・obligation
接続：V-stem＋つつも
Even though you know or are A, you still B
注意 / Note：Adding も completely changes the meaning: from «both A and B» to «though A but B». And the latter is almost always the opposite of what should be done — so it often goes with 知りつつも・悪いと思いつつも, with a repentant tone.
比較 / Compare：Same song: 〜つつ／〜ながらも. These models are often mistakenly chosen for each other — carefully read the 接続 and nuances above and then decide.
よく出る形 / Common form：動ます形＋つつも、〜。Or go with 知る・思う・分かる・反省する. The latter part is the CONTRARY to the perception in the previous part.
悪いと知りつつも、黙っていた。
Even though I knew it was wrong, I remained silent.
反省しつつも、同じ失敗をした。
Even though I'm sorry, I still repeat the mistake.
体に悪いと分かりつつも、つい夜更かししてしまう。
I know it's bad for my health, but I still stay up late.