Going from Applied Math to Bioengineering graduate school

Currently a third year applied math major with a concentration in mathematical biology. I’m looking to do a masters in bioengineering after i graduate (and eventually doing a phd in bioengineering). The thing is, I’m a junior but I haven’t taken any physics / chem or general biology classes. By the time I graduate, I would have worked in three psychology labs (lab experience since freshman year), taken a few upper division biology classes, and have taken all my math requirements + some biology / math electives (such as computational biology, partial differential equations, fourier analysis). I don’t think this is sufficient to getting into a masters in bioengineering though, since most of them seem to “strongly recommend or require” at least one year in a wet lab, as well as the fundamental science classes (2 years of chem/ 1 year of physics etc etc). Any advice on what I should do? Thinking about doing a post-bacc in physics and chem after for a year but ugh… so much money :frowning: