How do I stop GMail running on my phone?

On my Samsung S24, I am using **Fairmail** for my emails. I have a number of Google and non-Google email accounts. In GMail->Settings and Settings->Accounts (they are probably the same settings) - Manage Accounts -> Auto Sync Data is off - Each account has syncs for all items off Yet, GMail is running in the background and sometimes fetches emails. **Is there a way to stop it from running altogether?**