Education in japan for kids

Hi everyone,
I have a question and would really appreciate your advice. it's about my 2.6-year-old daughter.
Currently, she is in a Japanese-style hoikuen where she is learning Japanese. At home, we speak to her in English, and she understands both languages well.
Now, as she will soon turn 3, I am planning to admit her to kindergarten. I am a bit confused about what learning path to choose. Should her basic learning (like counting, shapes, math, science) be in Japanese, as per the Japanese system, or should I try to follow an English/Indian-style foundation alongside?
Also, looking ahead to elementary school, I see many Indian parents choose schools like IISJ or Tokyo International Public School. I’ve heard that some children face adjustment issues or even bullying in Japanese schools, which worries me. However, these international schools are quite expensive, especially since I have two kids, so managing the cost is a big concern.
My main question is: if a child completes their education in the Japanese system but can speak English (without knowing technical subjects like math/science in English), will they face difficulties later (for higher studies or career)?
Should I consider extra tuition from now for subjects like math and science in English alongside Japanese school? So they become comfortable in both languages academically?
If any parents here have gone through a similar situation, I would love to hear your experience and suggestions. Also, would you recommend going for professional counselling for deciding the education path?
Thank you so much in advance 🙏

by meghasingh29