The reference levels of estrodial for males is 10-50 pg/mL.

4mg daily of oral estrodial got me from (presumably) that range to around 95 pg/mL. Let's round this to an estimate of a 50 pg/mL, or an increase of 12.5 pg/mL per mg of oral estrodial.

A gallon of milk, would have 0.000492mg of estrodial, which would translate to a 0.00615 pg/mL increase. That is about 0.0015% the reference range for cis men.

Interestingly, high testosterone levels actually increase men's estrogen levels, as testosterone gets metabolized into estrogen.

https://emedicine.medscape.com/article/2089003-overview?form=fpf#a1