> the single mom working 2 jobs and didn't graduate high school herself
This isn't a quick fix strategy, it's a long term fix strategy that takes generations. The "access to education" is exactly for the benefit of people like the mother. Also the UBI means that she no longer has to work two jobs to pay for basic services for her kids.
UBI is the ultimate safety net that catches almost everyone who the current system has failed, and education is the long term guarantee to break the cycle of poverty.