Ballad of Songbirds and Snakes: How does Snow regain his family's honor?

In The Ballad of Songbirds and Snakes, set in the dystopian world of Panem, a young Coriolanus Snow is assigned the role of mentor to Lucy Gray Baird, the female tribute from District 12 for the 10th Annual Hunger Games. Snow, belonging to the once-proud Snow family that has now fallen on hard times, sees this as an opportunity to regain his family's honor and wealth.Despite initial anxiety about being paired with a tribute from the poorest district, Snow starts developing a sense of trust with Lucy Gray. He begins sneaking food from the Academy to provide for her, which leads to other mentors following suit and discreetly feeding their tributes. Snow's cunning and quick thinking also come into play when he comes up with the idea of Hunger Games sponsorships, allowing citizens to support their favorite tributes. This concept, proposed to the Head Game Maker, Volumnia Gaul, becomes instrumental in the future of the games.However, amidst the excitement and buzz surrounding Lucy Gray, a bombing occurs during the tour of the arena, killing several tributes and mentors. Despite this setback, Snow and Lucy Gray continue to captivate the Capitol with Lucy's performances. Eventually, Lucy Gray emerges as the winner of the Hunger Games, thanks in part to Snow's tactical moves in manipulating the arena's genetically modified snakes.But Snow's newfound success is short-lived when he is confronted by Game Makers who have evidence of his assistance to Lucy Gray. Forced to become a Peacekeeper in District 12, Snow's dreams of regaining his family's honor are dashed. However, he finds solace in reuniting with Lucy Gray, and their growing bond leads him to empathize with the Districts and their struggles.Snow's journey takes a dark turn when he discovers a rebellion plot led by his friend Sejanus and decides to report it to Dr. Gaul. Tragically, Snow's actions result in the deaths of Sejanus and a fellow rebel. In the chaos that ensues and with Lucy Gray planning to escape to a territory beyond Panem's control, Snow seizes the opportunity to cover up his involvement in the murders and regain his family's honor. He stumbles upon buried guns and realizes he can destroy any evidence of his crimes. Fueled by betrayal, Snow shoots into the trees where Lucy Gray has fled.Uncertain of whether he hit her or not, Snow disposes of the guns and returns to District 12, where he is eventually transported back to the Capitol. Dr. Gaul commends him for his role in the unraveling rebellion plot and reveals that Snow was sent to District 12 as a means to come to terms with the harsh reality of Panem's society. Snow accepts his position to train as an officer and is practically adopted by Sejanus's father, unaware of Snow's involvement in his son's death.The novel's epilogue uncovers the true origins of the Hunger Games. It was a school project conceived by Snow's father in collaboration with a young Dean Highbottom, who remains opposed to the games. In a calculated move, Snow poisons Highbottom, marking the beginning of his signature method of eliminating enemies. He ascends to become a Game Maker, implementing his own ideas into the games.The fate of Lucy Gray remains uncertain; she is neither seen again nor mentioned. The upcoming film adaptation promises to bring this captivating prequel to life, with commendable performances from the cast and a faithful portrayal of the story. Fans eagerly await the movie's release to see how closely it aligns with Suzanne Collins' original novel.