This example sentence, like many I found on the internet, is simply
wrong. It should read "refined," "reworked," etc. The reason no reputable English dictionaries list that sense is that it's
not right. As Bob C. said, that's not what 'finesse' means.
So #1 here is also wrong, and the post #1 in the other thread linked there is also wrong.
This is all astonishing to me -- I had no idea so many people didn't know what this verb meant. In fact, of the examples in the Uni Leipzig text corpus, there are probably more wrong than right. AARGH! Paging Bryan Garner ...
Unfortunately, the lone LEO entry for 'finesse' as a verb, 'überlisten,' is also inadequate -- in fact, probably also wrong.
I'm working on a Wrong Entry and some better suggestions.
*f5* Here it is. Thanks in advance for comments and suggestions.
related discussion: to finesse - überlisten