One of the most important factors while considering any B-School is it’s legacy. The number of years it has been in existence and the consistency with which it has turned out professionals and industry leaders.
Sure, the Xavier’s is an established brand in India and especially in Kolkata. But for a B-School which started operating just last year – it would be too much of a risk.
Although, I cannot answer your question directly because I, honestly, have no data to rely upon – I would advise you not to go for Xavier’s.
If you are under no pressure, you should, ideally, prepare for management entrance examinations and try for admission in 2020. If, however, you are under pressure to get admitted in a B-School you should try IMI Kolkata, MDI Murshidabad, etc. These are some decent institutes in West Bengal.