The brand of IIM is well-respected and will continue to hold weight in the future. IIM Bodhgaya is a relatively new institute and has the potential to grow further in the coming years. While SIBM Bangalore may have slightly better placement opportunities, graduating from IIM Bodhgaya will be a great achievement and you will be proud to say that you have studied at an IIM.

It is important to note that both institutions have a strong culture of study and competition among students. However, if you have the determination and belief that you can score higher on the CAT exam and have strong academics, it may be worth considering giving it another shot for the chance to attend a better institute. It's important to weigh all the options and consider the long-term benefits before making a decision. Ultimately, the choice is yours and it's important to choose the institution that aligns with your career goals and aspirations.