The American, of course, is convinced (4)
I believe the answer is:
sure
This clue could be a double definition.
'the american of course' is the first definition.
'sure' can be an answer for 'course' (thesaurus). I'm unsure of the 'the american of' bit.
'is convinced' is the second definition.
(similar in meaning)
Can you help me to learn more?
(Other definitions for sure that I've seen before include "Feeling no doubt" , "Positive" , "Completely confident that one is right" , "Safe" , "See 12" .)