Visa sponsorship after MBA - should international applicants pick schools by H1B track record?

Hi ARINGO team and everyone,I'm an Indian software engineer with about 5 years of experience (backend, currently on an H1B with my employer here in the US), planning to apply for R2 intake. GMAT mock scores are around 690-700 and my work ex is at a mid-size product company, so nothing spectacular on paper.My question is about how much weight the post-MBA visa situation should carry in school selection. Since I already work in the US, I figure the real problem starts after graduation, when I'd need a new employer to sponsor me or move to OPT and hope the H1B lottery goes my way. Two specific things I'd love advice on:1. Should I shortlist schools mainly by their history of placing international grads with H1B/visa-sponsoring employers (big tech, consulting, finance), even if that means aiming a bit lower in the overall rankings?2. Does admissions actually look at whether you already have US work authorization, or is it treated as neutral? I sometimes worry being on an employer-tied H1B could quietly count against me if I need sponsorship again after the degree.Any pointers from people who went through this would be a huge help. Thanks a lot!