I added to my last comment. So it’s longer. Sorry.
If you want to do engineering BC is not a better fit and frankly not a fit at all.
There are two key rules of fit in my mind
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Affordability
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Being able to study what you want. BC is not an option there and you somehow could get in - Without ABET accreditation your job possibilities are greatly reduced.
So you are so much better off starting in engineering and leaving then vice versa.
Good luck. But this isn’t a good path - I don’t believe.