I would compare pvals_stata then at rtol=2.5 or 3.  We don't really need an exact verification, going from tvalues to pvalues is generic and verified with other examples.

However, if we use our own tvalues to calculate the pvalues, then we get a precise result that works as regression test for the t versus normal distribution. A rough calculation, at df=233 and tvalue=6.1, the difference between t and normal pvalues correspond roughly to rtol=0.75, so we need at least that to get a regression test for which distribution is used.