Leetcode interviews require their own preparation. Your degree would not have prepared you for it and I dare say most computer science majors wouldn’t be able to go into one without prior preparation and pass.
Don’t let that discourage you. Instead, you should just do what everyone else does and practice those problems.
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It sounds like you didn’t do Computer Science. This is typically the baseline requirement for most software engineering positions.
However, many people do get in without CS degrees.
What did your degree cover? Is it similar to what’s covered in the typical coding boot camp? I have assume it’s much more than that, since you went to community college for it.
My point is, if lots of people can get in with these types of programs, you should be able to too.
You claim nepotism, but a lot of people get in via referrals so don’t feel bad about that.