It sounds like you're dealing with a common issue when working with SSIS and Excel files, especially when there's a mix of 32-bit and 64-bit components. Let me break this down for you:

1. Since you have Office 365 32-bit installed on your dev machine, you’ll need the 32-bit version of the Microsoft Access Database Engine. This is because SSIS needs to match the bitness of the Office installation to interact with Excel files properly.
2. Installing the 32-bit Access Database Engine should resolve the error you're seeing during column mapping in Visual Studio.
3. On the database server where the SSIS package will run, if the Office installation is 64-bit, you’ll need the 64-bit version of the Microsoft Access Database Engine. This ensures compatibility when the package is executed via SQL Server Agent.
4. If the server has a 64-bit Office installation, the package should run in 64-bit mode without issues.
5. Dev Machine: Install the 32-bit Access Database Engine to match your 32-bit Office installation.
6. Database Server: Install the 64-bit Access Database Engine if the the server has a 64-bit Office installation.
7. Package Execution: Ensure the Run64BitRuntime setting is correctly configured for development and deployment. On the server, it should be set to True if running in 64-bit mode.
8. If you’re developing in Visual Studio 2022 (64-bit) but need to debug in 32-bit mode, you might need to adjust your project settings or use a 32-bit version of Visual Studio for debugging purposes.
9. Double-check the bitness of the Access Database Engine installed on both the dev machine and the server to avoid mismatches.