Mixing Meat and Milk
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Answer
Shalom!
Thank you for your question.
Indeed, one of the mot important laws in the word of “Kashruth” (Keeping Kosher) is not to mix meat and milk (it is not just Hasidim...it is observed by all religious Jews). As the verse says, “You shall not cook a kid in its mother's milk." This commandment appears in the Torah three times (Exodus (23:19 , 34:26, and Deuteronomy 14:21), making it the most cited Kosher related law.
The Talmud (Chullin 113b) explains that "kid," (a goat), and “it’s mother’s milk,” are only cited as examples as to what was common in ancient times, but the ban applies to all kosher animals and all forms of kosher milk. So too, the reason it is repeated three times is to teach us that there are three independent prohibitions in the ban on mixing meat and milk: a ban on eating milk and meat, a ban on cooking milk and meat, and a ban on deriving any benefit from a milk and meat mixture.
Regarding your question, on how Avraham was able to feed his guests both milk and meat in the same meal, it is indeed a famous question. Among the answers that are given is that the event took place before the Torah was given. The laws of the Torah, for the most part, only commenced when the Torah was given at Mount Sinai many hundreds of years later.
Another answer given, was that the milk was served first and only later the meat. Such an arrangement is theoretically possible (within Halachik guidelines) to have even today.