The decision to join a particular B-school ultimately depends on your individual career goals, personal preferences, any constraints you might have, and the specific offerings of each institution.
Here are some key factors to consider when comparing new and baby IIMs with other B-schools such as TAPMI or KJ Somaiya. But if you ask me, if you have calls from any of the IIMs, just join them without a doubt. New and baby IIMs have been established relatively recently and may not have the same level of brand recognition and industry connections as older and more established B-schools but the IIM tag matters a lot in the industry.
TAPMI and KJ Somaiya are well-established B-schools with a strong reputation for academic rigor and industry connections. They have a well-developed curriculum over a long history of the institute, faculty with extensive industry experience, and a large network of alumni who can help with job placements and career opportunities.
If you are deciding between these institutions, you should consider factors such as location,cost, faculty, industry connections, and curriculum. Consider your own career goals and whether each institution can help you achieve them.