Clearly, the piyut of b’motza’ei menucha still applies b’ashmoret haboker.
Yes, until alos hashachar.
???? ????? ?????? ??? ???? ????? ???? ???? ?????. ?????? ??????? ?? ???? ?? ????? ???? ????. ???? ???? ???? ????? ??????? ???? ???, ???? ????? ???? ?????? ??????? ?? “?????? ???? ???”, ??? “??? ?????? ????? ??????”.
(??? ????? ?”?)