Q. Also, (see prior question) how much time does he have to eat the egg’s volume of bread?

A. Poskim disagree. B’kurei Yaakov (639), Mate Efraim (H. Suka 625), Tehila Ledovid quoting Shulchan Aruch Harav, maintain that the complete beitza volume should be consumed within the achilas p’rass time frame (about three minutes – Igros Moshe O.H. 4: 41 et. al., though there are more lenient opinions.)
However, Ketzos Hashulchan (82) Moadim Uzmanim (8: 86) quoting HaGraz (Sidur – Netilas Yodaim), that in regards to netilas yodaim, one can be lenient and eat each separate kezais within that timeframe. (See also Shemiras Shabbos Kehilchoso 54 n. 129)
Horav Shlomo Miller’s Shlit’a opinion is also that one can be lenient and if he consumes each single kezais within that time amount, he can eat them at different times during the seuda.

Rabbi A. Bartfeld as revised by Horav Shlomo Miller Shlit”a