Why is "tolerate" option wrong in this question?

This question is taken from the Gregmat Verbal Solving section.
Even though in the solution video Greg explains why “Acquiesce to” option is correct for the 3rd blank, it is still unclear why “tolerate” is wrong.

When I solved the 3rd blank, I filled in " allow" into the blank before looking at the options.
When I saw the options, I chose the option “tolerance” which means to allow or to permit.
But when I googled the definition of Acquiesce and tolerance, both were having “allow” as their synonym. So, is there a subtle difference in meaning between Acquiesce and Tolerance, which I am missing out?

Thanks in advance.