Short answer
HubSpot's KB: if two chatflows target the same page, or a contact meets both targeting rules, priority decides which appears. Reorder by value or drag, or use Move to top priority. Priority doesn't check team availability. To test, target a chatflow to a URL with a unique query parameter such as ?test_chat=true.
1. Chatflows
Chatflows in my demo portal.

2. Targeting
See targeting rules.