As a clinic owner, there’s no benefit. You can (and should) get all the business acumen you need for free. The only use of an MBA would be if you wanted to parlay your vet med degree into a management position at a agri-business company. That’s LOTS of money to invest for that type of job.
Large animal vet med is a very tough road. VERY few work with high dollar animals. The majority of large animal vets work on farm animals owned by hard working folks that struggle to make end meet, and will thus be challenged to pay you.
As was mentioned previously, debt will be the enemy of your dream to own a private clinic. Servicing education debt and startup costs will be a struggle if your school debt is too high. Private equity is sweeping through and paying high multiples for desirable clinics, which will put them out of reach for new grads. Those that aren’t run well aren’t worth buying. Go in with the idea that you’ll open cold, probably after a few years of being an employee somewhere to hone your clinical/surgical skills. Or, you could get lucky and be brought on as an associate in a clinic that doesn’t go the PE route.
Lastly, and I alluded to this previously, but wasn’t so overt about it, students who do their undergraduate work at a school with a vet school have a higher admission rate into vet school.
Good luck.