Profile evaluation request

Hello experts!

I would love to get your feedback on my profile, since I am a bit lost about what I should do in the next few years. The main question would be:
1) Does it make sense for me to do an MBA?
2) If going for an MBA seems worth it, what exact GMAT score should I aim for?
3) Let's say I can get 700-720 on the GMAT, which top US schools could I target?

Here's a bit more about myself:

Female Italian, currently 24yo and considering starting MBA at 27 with around 5 years of experience

GMAT: around 700 (I haven't taken the real test yet, since I am not sure if/when I am going to apply to business school)

Education:
-High school in Italy (GPA 3.28) and one year in the USA (GPA 3.99)
-Undergraduate degree in Finance & Financial Markets at a small Italian university (3.97 GPA - top 1% and merit based scholarship received) + two academic semesters abroad (Spain & Poland)
-Master in Management degree from a top French Business school (program ranked 5th worldwide according to FT) with 3.8 GPA (top 10%) and a semester "abroad" (online to due covid) at a leading Canadian university

Work experience:
-During undergraduate:
1) Two months internship at a small accountancy firm in Italy
2) Four months work at the family owned agribusiness consulting firm in Italy
3) Two months internship at the Italian Chamber of Commerce in Ukraine
4) Two months internship at a project management consulting firm working on EU tenders and calls of proposals in Belgium
-During graduate:
1) Two years apprenticeship contract (work and study program) in change management & financial controlling at a leading French tech company
-After graduation:
1) Six months as a Business Developer Manager at a French leading shipping company in the Philippines
2) Will be joining BCG as an Associate in Europe in a few months and planning to stay at the firm for at least two years

Other info:
-Been campaigning for LGBTQ+ rights since I was a teenager with different associations and in different countries + I was the president of the LGBTQ+ association at my business school, promoting inclusion within the cohort and organizing events with external companies (mostly MBB, Big 4 and Tech)
-Volunteered as an English teacher in Uzbekistan for two months
-Group leader for several youth projects financed by EU (in Armenia and Georgia)
-I speak four languages fluently (I have worked and studied in all these languages) and I am actually learning a fifth one
-I have lived in nine countries and visited 80+ countries worldwide
-Played basketball at regional level while in high school and joined the basketball team of my French bschool during my master's

Overall, I think that the main thing that makes me unsure about my chances at top US school is my undergraduate degree from a very unknown university in Italy. Do you think that having attended a prestigious business school for my graduate education could offset this aspect?

Thank you for taking the time to go through my long post and for your precious advices!