Please tell me why we cant eat the meat of fowl together with milk products, after all the edict in the Tanach says we may not consume the Kid in its mothers milk whereby birds do not give milk?
It is true that according to Torah law, there is no prohibition of consuming fowl together with milk. However, out of concern that people should not discern between fowl and meat, the Sages enacted that even fowl should not be eaten together with milk it is permitted to cook fowl with milk, and to benefit from a mixture (unlike for meat).
According to one opinion cited in the Mishnah, the reason for which fowl are permitted to be consumed, according to Torah law, with milk, is because birds do not give milk (as you write). According to another opinion (which we follow), the Torah prohibition applies to the meat of behemos (generally farm animals: cows, sheep, goats) alone, and not to chayos, as well as to fowl.
Sources: See Mishnah, Chulin chap. 8; Gemara Chulin 113, 116; Yoreh De’ah 86-87.