Follow-up question - Botox/Surgical options to fix crooked mouth due to weak left DLI muscle? (photos)

Hi. I posted this problem before but with a non-surgery question. Now I am seeking consultation about surgery. My left lower lip does not pull down like the right; probably a weakness in the left depressor labii inferiosis. My mouth moves oddly when I talk (left corner does not curl or pull down like right). No problem shows when mouth is closed. I've had this problem since birth, and have no history of jaw surgery/nerve damage. I've heard about right DLI resection. Is this suggested over Botox?