Takemichi's motivation to strive for a better future despite facing overwhelming odds is rooted in his desire to protect and save those he cares about. He is driven by his love for his friends and the people he wants to keep safe, which gives him the strength to overcome challenges and fight for a better tomorrow. Additionally, Takemichi's determination to change his own life and make a positive impact on the world pushes him to keep moving forward, no matter how difficult the circumstances may be.