MBA after MS? Is it a Good Decision? : Ask Square One Prep

Hi Square One Prep Experts,

I am an Indian Female, age 24. I am matriculating in an MS program this fall. It is at Duke University. I have work experience just shy of 3 years as an environmental engineer at an Oil and Gas company (1 promotion, managed an entire oil field's Environmental compliance for almost 2 years). My UG is from an IIT with gpa of 8.74 and GRE score of 333 (163 V 170 Q). I have some volunteer experience.
I am now also considering to apply for MBA upon graduating from this program. This should add one more year of work experience. I would like to target top 10 mba programs in USA ( preferably HSW) so I am not confident about my profile right now. I am looking forward to strengthening my profile through my MS (since it is professionally oriented) by graduate consultant jobs, internships, research work at the Fuqua's EDGE centre and gaining some more volunteering experience. Am I being impractical and should I consider applying for MBA only after gaining a significant work experience after MS?

Extracurricular- Worked actively with underprivileged kids dealing with drug abuse throughout my college as Center Head for Prayas shelter home and I assigned roles and activities to my college mates under the "Leaders for Tomorrow" group.
Also, I have gained a little following on social media pertaining to men's fashion and clothing. I sell clothing items, especially shirts that I design myself, my niche is LGBTQ+ as I am a member of the community myself.

As the center head for Prayas shelter home during my college years, I actively worked with underprivileged children who were abusing drugs. I also delegated tasks and responsibilities to my fellow students as part of the "Leaders for Tomorrow" group.
Additionally, I've developed a small social media following for men's fashion and attire. My specialty is the LGBTQ+ community since I am a member myself. I offer clothing goods, particularly shirts that I design.