Is it better to Raze and re-Settle? Or Puppet/Annex

Are you saying that an annexed city with courthouse causes less unhappiness than a self-founded city? If so, that like a pretty unbalanced game mechanic! I thought the courthouse only eliminated the annexing penalty.

yeah right.
at first i thought its a bug but it was there since vanilla iirc so it seems its a feature
 
There was a bug in Vanilla that caused Courthouses to remove *all* per-city unhappiness, but I believe it was patched long ago so that an annexed city with a courthouse is the same as a self-built city, notwithstanding the maintenance cost of the courthouse and additional social policy impacts on the Courthouse.
 
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