What is the RE corresponding to the following NFA $(1$ is the start state$)?$

NFA

Group of answer choices

a$(($b$+$c$*)|($b$*$c$*))$

All other answers are incorrect.

$($a$*$b$+$c$*)|($a$+$b$+$c$*)$

$($a$*$b$*$c$*)|($a$+$b$*$c$*)$

$($a$+$b$*$c$*)|($a$*$b$+$c$*)$