Appeal, petition (4)
I believe the answer is:
plea
I believe this is a double definition.
'appeal' is the first definition.
(I know that plea is a type of appeal)
'petition' is the second definition.
(petition can mean to plea or beg)
(Other definitions for plea that I've seen before include "Negotiation between prosecutor and defendant" , "Guilty perhaps" , "Dispute" , "Defence - excuse - appeal" , "Earnest entreaty" .)