Apparently, punctuation is one of the biggest stumbling blocks to good writing and publishing. As grammar Nazi, I didn't know this. #Acwripic.twitter.com/A9uFLgKgF7
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Also if you look below my tweet, you will see... exactly what you asked of me already posted by @biotweepshttps://twitter.com/biotweeps/status/1024287781344952321?s=19 …
The sentence you provided can be interpreted as a list whether it has the comma or not. With 2 commas it is an Oxford comma list; with 1 comma it is a non-Oxford comma list. This is just a badly written sentence that needs to be restructured to avoid ambiguity.
“My dad (a bad person) and I walked into bar”. If this sentence were spoken, prosody would provide the disambiguation. Regardless of the number of commas, this is an awkward, stumble-wumbly sentence. 
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