Getting class sizes to 10:1 or 5:1 is quite the jobs program, and will lead to amazing long term outcomes for the kids.
Being a teacher is like being a nurse: it really takes the right kind of person to do the job well. Having more bodies in classrooms isn't a solution by itself.
One can also take a longer view and give better incentives to get the teaching credentials in the first place. It's not at all impossible to grow the number of teachers ethically.
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No one here said schools have holes. The holes are in the govt which owns and controls public schools. Do you really think that is not relevant?
By your logic, schools don't tax people so it is irrelevant discussing taxation when it comes to improving schools.