Claude Code is amazing (I assume that is what you mean by Codex) it integrates into your terminal. The biggest advantage over Cursor is the use of Agents to automate your workflow. an Example is you can have a FileNaming Agent that you give a list of instructions to for whenever a new file is created so it is named a certain way, or a Comment Agent with instructions of whenever a comment is created in your code it puts certain information in. Maybe you can do this all in Cursor too but I dont know how. Also you dont need to pay for the API as you can just use your account to log into Claude Code.