You've convinced me.
https://en.wikipedia.org/wiki/Compound_(linguistics)
https://www.merriam-webster.com/grammar/spelling-using-compound-words-guide

Corrected
You've convinced me.
https://en.wikipedia.org/wiki/Compound_(linguistics)
https://www.merriam-webster.com/grammar/spelling-using-compound-words-guide

Corrected