Ideas for Analyzing LinkedIn Connections with AI Tools

Looking for ideas on analyzing linkedin connections with an AI tool.. ideally we pull connections (manual), store them somewhere, like Airtable, and then use a tool to pull ICP company names and connections across 8-10 team members.. Then recommend comms in.. I don't want to buy a tool that does this. I want to put it together to really understand how it works and the nuances of the system. I welcome any and all thoughts :)