It is clear you have a very realistic grasp of your profile. You are what admissions officers often call a "spiky" candidate—you have significant weaknesses in one area (standardized testing and GPA) and significant, elite-level strengths in another (work experience and clarity of purpose).
Here is an analysis of how your application likely sits in the ESSEC Round 2 pool.
The Academic Hurdle
Your 316 GRE and 3.3 GPA are undeniably below the ESSEC median. In a vacuum, a 155 Quantitative score is a "red flag" for a top-tier French Grande École because their curriculum is famously rigorous in finance and economics. However, your Bocconi background helps mitigate this. Admissions teams know that a 3.3 at Bocconi is harder to achieve than a 4.0 at many other institutions. They also see that you performed well in strategy and management courses, which suggests your "low" GPA might be a result of the high curve rather than a lack of ability.
The "FAANG" and Industry Advantage
This is where you likely save your application. While many applicants come with 6 months of "shadowing" experience, you have 17 months of high-level internships.
Employability: ESSEC cares deeply about their ranking, which is driven by placement stats. Having "Tier 1 Tech" and "FAANG" on your resume before you even start the program makes you a "safe bet" for their career center.
The Music/Tech Niche: Most MiM candidates are generalists. You are a specialist. Your focus on the music industry combined with operations experience makes you a perfect fit for the Digital Disruption Chair. Schools love candidates who have a "story" that makes sense, and yours is incredibly cohesive.
Extracurriculars and Leadership
Your co-founding of a film association is a major asset. Scaling an organization to 160+ members and landing a Disney+ VP for a panel shows "Grandes Écoles" spirit: initiative, networking capability, and professional maturity. This reinforces the idea that while your Quant GRE is low, your "Soft Skills" and "Leadership Potential" are in the top 5% of the applicant pool.
The Strategy Behind Your Referees
Choosing two professional managers from a top tech firm rather than professors was a smart move. It signals to ESSEC that you are already operating at a professional level. Their testimony will likely focus on your ability to deliver results in the real world, which can often outweigh a standardized test score in the eyes of a holistic reviewer.
The Verdict
You are a high-risk, high-reward candidate.
The Risk: You might be filtered out if the round is exceptionally crowded with high-test scorers.
The Reward: If you make it to the interview stage, you are in a very strong position. ESSEC interviews are famously conversational and personality-driven. Your "Entertainment-Tech" narrative is far more interesting to an alum or professor than another candidate with a 330 GRE and no clear career path.