Admit it's personal (3)
I believe the answer is:
own
I believe this is a double definition.
'admit' is the first definition.
(thesaurus)
'personal' is the second definition.
('own' can be similar in meaning to 'personal')
'it's' is the link.
(Other definitions for own that I've seen before include "Personal; possess" , "Allow" , "Possess or confess" , "Private" , "Posses" .)