Beef does not nullify wudu, nor does horse-meat. Camel meat, however, does break wudu: whether you eat it raw or cooked, as lean cuts or otherwise, you must renew your ablution.
As for drinking camel milk, the sound position is that it does not invalidate wudu, because when the Prophet ﷺ told the ʿUraynah tribesmen to go to the charity camels and drink their urine and milk, he did not instruct them to perform wudu. Had it been obligatory, he would have ordered it. Performing wudu afterward is preferable, but it is not required.
The same ruling applies to broth: wudu is not mandatory after consuming it, though it is better to do so. With the meat itself, however, wudu is indispensable—and the same applies to the fat; one must perform wudu after eating it.
Some people claim that the reason for this ruling is that the Messenger ﷺ once attended a banquet at which camel meat was served, that someone present passed wind and no one knew who it was, whereupon the Prophet ﷺ said, “Whoever has eaten camel meat, let him perform wudu,” so everyone stood up and performed ablution. They regard this story as the basis for the ruling that one must renew wudu after eating camel meat.
This report is baseless; it has no reliable foundation. The Messenger ﷺ commanded us to make wudu after eating camel meat for a wisdom Allah knows best—we may grasp that wisdom, or we may not. What matters is that we say, “We hear and we obey.” The Prophet ﷺ instructed us to renew our wudu whenever we eat camel meat, so we respond with full obedience.