Even so means despite that, this is still true. Even so, I would not risk it.
It concedes the last point and holds the position, which is exactly what makes it useful in argument. It sits at the front of the sentence and needs the concession to have been made first.
1phraseeven soDespite that, this is still true.
“The forecast is better, but even so I would take a coat.”
even so is a phrase.
Practised in Small Talk & Everyday Phrases