
I'm also a bit confused, but I understood this much:
1. Make her love him and become the new worst trauma to her by replacing the old one about the prince. (The trauma technically shouldn't be replaceable because it was tied to the sword that she struck through her heart and which is keeping the loop going.)
(1.5) Take a gamble and believe in the tower masters in order start the next part.
2. Make the character synchronizing reach near 100% and get killed a before the first 24 hours in this epic/story are done.
3. Get called to the tower master discussion to argue that the control of identity should go to the character/butler in the story, so that the butler could have Gong-ja's ability to go back in time every time he gets killed. (Adding that she should also be able to keep her memories to ensure their love will prevail)
4. Discussion success!
5. Return as a butler before the epic starts with a strong sense that you have to see her and go to her
6. She kills the butler after confirming that he inherited Gong-ja's ability by seeing something in the character window (jumpled up Gong-ja's own interests that we had already seen previously)
7. Every time butler/Gong-ja gets killed he repeats the killer's worst trauma as we already know. In this case, it is the memories and experiences they've had together and their love. Every time he gets killed, a piece of his memories will come back.
8. Repeat killing until we get our lovely MC back <3
9. Since he managed to go back in time to before the story started, they managed to "prevent" the time loop and getting her heart struck by the sword. (Technically though they artifact-sword-whatever was still used and thus the other constellations will still try and invade the place they're at. Because if I remember correctly it somehow had presented that until now?)
10. She is saved! Happy end! Or something!

He killed both himself and her repeatedly at the same time to regress to the first day of the trial, which is the day he first became the butler. He have to keep killing her to keep both their memories of him intact since she’ll go back to seven days prior whereas he only go back one day. After they successfully went back to the first day he asked her to start kissing him and love him more to make his immersion rate of the butler goes up (I think it might not be very obvious in the manhwa but his immersion rate increases because the og butler actually had a crush on Raviel as well). When immersion rate reaches 99% he became the butler and forgot his memories, thus leading to him calling Raviel the Duchess and asked if she had kidnapped him (this became Raviel’s trauma and broke her heart). She did as he asked and killed him which results in an error as the tower can’t determine to regress to a day before in the butler’s pov or Gongja’s pov (if it’s from the butler it’ll go back one day before in that world which is what he’s aiming for. If it’s from Gongja it’ll go back to the day from before they enter the stage). So the top dogs in the tower all gathered for a conference to decide which they should go with and Gongja have to convince them to go with the Butler’s pov since he wants to go back in that time to prevent Raviel from stabbing her heart and become a constellation. He succeeded and also asked for the Tower to give him a reward for Raviel to keep her memories of him. So he went back in time in the butler’s pov but his memories are still gone since he’s still 99% the Butler. Since Raviel knows about Gongja’s skill and how he can see the trauma of the ones he’s killed by, she made him her trauma and showed him her memories by killing him again and again until it lowers the immersion rate back to when he’s Gongja again (I forgot if it’s 80 or 90% but are there). There’s just still one issue remaining which is that since there isn’t a constellation(Raviel didn’t become one) protecting their world now other constellations will still invade to seize control of that world and thus they have to fight them off. Now that he’s back he proposes and they’re getting married on the day the constellations will invade (which also is a calculated move btw will reveal during the fight when it have to be that day of all days). That’s all, hope this helps you understand it better!
I am loving their dynamic and relationship (so freaking trusting and sweet with each yet so much chemistry). But I am having a hard time piecing together his entire plan to save raviel.
So he first starts by killing her repeatedly... and then killing himself repeatedly... and somehow losing his memory.. after negotiating something with the tower owners... I am too stupid to understand how this scheme works in the entirety. I guess its due to the weekly releases, can't remember each detail of what happened before