Have you studied them in other countries? I suggest you inspect your assumptions by looking at what already happens.
Voters want infinite "free" healthcare from their politicians, so healthcare costs continuously increase. You have little recourse to say no to taxes.
In New Zealand ~17% of government expenditure was on health in 2000 and in 2026 it was ~22%.
In NZD it went from ~$10B to ~$40B (inflation and demographics are also an influence).
Privately paid also exists, but only ~1/3 the spending of public health. NZ government ACC spending is also huge.
Government ownership does not fix the problems you wishfully hope it might.