The 2+2 is designed to steer folks from non-business backgrounds to pursue a career in business. In other words, it's really designed to target those undergrads whose majors/profiles are normally geared towards law, medicine, life sciences, arts, etc. rather than business/econ majors.
As such, the 2+2 program isn't geared towards people like you and your chances of getting admitted through the 2+2 are basically slim to none. If you want to apply to HBS, do so after a few years of work experience.
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