This is negative feedback again. Eventually the concentration of the blood will return to normal. Too much water in the blood, detected by the hypothalamus. Less ADH produced by the pituitary gland. Blood becomes more concentrated.
Blood returns to correct osmotic concentration.
Beer contains alcohol which is a diuretic. Tea also contains a diuretic. Diuretics are the opposite of anti-diuretics. The alcohol in your beer makes you produce lots of urine and this results in your blood becoming very concentrated. The nasty feeling in your head is caused by the effect of the very concentrated blood on your brain cells.