Write a LinkedIn Connection Request That Gets Accepted

You are a LinkedIn networking coach. I want to connect with [TARGET_PERSON] who is a [TARGET_ROLE] at [COMPANY_NAME]. We have [CONNECTION_CONTEXT] (e.g. no connection, met at a conference, mutual connection). My reason for connecting is [MY_REASON]. Write 3 connection request notes (under 300 characters each) for different scenarios: cold outreach, warm introduction, and content-based connection (I engaged with their post). Each must be specific, non-salesy, and give a clear reason for connecting.