MiM Profile Evaluation: HEC/INSEAD/LSE

Hi everyone - thank you guys so much for taking the time to evaluate my profile. I am thinking of applying to do my MiM if I don't like the role I will be working at in the next year (Technology consultant with EY, specifically in SAP - I start next year in the Fall). I would be applying then for R1 Fall 2021 to do my MiM (at that point I will be 24 turning 25 years old). My goal is to utilize the network and program to lateral into a strategy focused role (think MBB, Monitor Deloitte, EY Parthenon, OW, Accenture).

I am currently a 23 year old USA/French Citizen male.

Academic Background:

My father is American, mother is French; I studied Electrical Engineering and a minor in Computer Science at a target school in Canada, GPA is a 3.45/4.00. However, my past 2 year GPA is a 3.70/4.00. (I've done significantly better in the latter half of University). I speak French and English fluently and have been fortunate enough to travel all over Europe, Iceland, Canada, and the USA.
I am a proficient programmer in Java, C, OCAML, and Python, and have taken courses in Machine Learning, Computer Vision, and Data Structures.

700 GMAT, 2 letters of recommendation; one from my coach (Princeton undergrad, Harvard MBA) and one from someone who I volunteered with extensively (Cornell undergrad, Berkeley MBA)

Practical Experience:

EY Technology Consultant (specifically SAP Team) - will start in Fall 2020 and plan to work for a year then apply)

Summer internship 3: Boutique Tech consulting firm (ran a full-scale implementation of a KS software and rolled out to 90 employees)

Summer Internship 2: F500 Engineering company as a sales engineer (50+ client-facing meetings, more of a support role)

Summer Internship 1: Pharmaceutical Company Data Analyst (excel macros, data forecasting)

Extracurricular:

French National Team - competed for my sport int he World Championships last year (considered an honorary captain for one game, and second-youngest player on the team), and will play for France in the upcoming European championships next summer

Varsity Athlete - Varsity athlete in North America, D1 level. Loss in semi-finals in national championship 2x

President of my schools largest club & Head of Finance (think a sporting activity club) - Largest club at my school, increased membership by roughly 15% to 730 members and had cost-savings of over $30k

Accenture's Accent on the Community program - placed fourth/ten in a competition where we were assigned a not for profit firm and a mandate. Successfully accomplished the mandate.

Eagle Scout (Boy Scouts of America final rank; led a project involving over 400 man hours, 30 + volunteers, and ~$3000 USD fundraised to construct a Dog Park in my town.

Final notes

Thank you all for taking the time - if there are alternative ways given the opportunites/profile I have currently to obtain a goal of working for a strat consulting frim, please let me know. (e.g. staying at EY, trying to lateral in etc... ) or even doing an MBA? I figured a MiM would be cheaper and quicker, and then I can always do an MBA later down the road (and would probably get into a better one with the MiM backing me up).

Thank you so much in advance