Don't go to offer support (4)
I believe the answer is:
stay
I believe this is a double definition.
'don't go' is the first definition.
(I've seen this before)
'support' is the second definition.
(stay is a kind of support)
'to offer' acts as a link.
(Other definitions for stay that I've seen before include "Stick around" , "Remain; guy" , "Stop; support" , "Wait" , "Period in one place" .)