MBA is to support your ability in management skills only. Getting a degree is to specialize and sharpen your skills toward the field you're heading to.

Problem is, if you do not have a specific skill and knowledge, how do you manage a business? or even get into a position to manage people and things, where you don't even know where you should start. Low rank job doesn't need MBA, FYI.

Never ever take a shortcut in your education, since your parent are supporting you, why not enjoy the coming 3 years and get a proper job. You have 30~40 more years of working life, why would you want to add 2 years more?