As far as I can tell, the only CBSE school in Bangkok is the Global Indian International School, which has a number of campuses worldwide. If attending this school, it should be possible for your sons to continue/complete their education in Bangkok.
If you're looking at international schools in Bangkok there's a really good list here with reviews from parents: https://www.ischooladvisor.com/city/Bangkok
There are a lot of international schools in Bangkok so worth doing your homework as they're not all as good as they might claim!
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