Levering an internship into a more distinguished management consulting/business advisory role

Hello all.

For some background, I am currently a junior with a 3.5 GPA at a state university where I am double majoring in finance and business analytics. I am heavily involved on campus and am on the executive board for multiple organizations in our business school. The main reason I landed my future internship was because of my experience from the previous summer as a business analyst at a mid-size manufacturing firm.

My internship for this summer is at a middle-market public accounting firm (think anything outside the big 4) where I will be interning as a data analysis & business intelligence consultant.

As the title suggests, I was wondering about some of the ways I can leverage my future internship into a more distinguished full-time management consulting/business advisory role at a Big 4 after graduation. I am worried that my GPA is not up to Big 4 standards and that I do not come from a "target" school.

I should also note that the main reason I want to get into management consulting is that I do not want to be siloed into mundane data and analysis for my whole professional career.

Any advice on how to achieve this will help. Thanks!