Does bishul akum apply to scrambled eggs? Maybe it's not oleh al shulkhan melekh. Looking for sources, preferably Sephardic.
The Ben Ish Hai lists a number of common foods that are subject to this prohibition, including rice, truffles and eggs. Even though one could drink an egg yolk without cooking it, nevertheless, since people normally cook eggs, it is included in this prohibition. Thus, one may not allow his non-Jewish housekeeper, for example, to prepare scrambled eggs for him, even if she uses his utensils and prepares the eggs in his kitchen. Similarly, at catered affairs, gentile employees should not prepare omelets and the like for the Jewish guests.
At Kashrus.org question 226, “Can you order scrambled eggs at a non-kosher restaurant?” was answered “No, it's Bishul Akum.”