As others have already said there's no way to avoid this if you run all apps in the same user profile.
If you don't want your other Google apps associated with your Google account, I suggest the following set-up:
- Install sandboxed Google Play Services in the owner profile and sign into Google Play Store there to install and keep up to date the apps you require
- Setup a secondary profile in which you do not sign into a Google account
- Use the install available apps feature in GrapheneOS to install required apps from owner profile to secondary profile
- Keep the apps you want to use in the secondary profile disabled in the owner profile.
With that setup, Google Play Store in the owner profile will keep the apps updated across all profiles. But you'll have the Google apps in your secondary profile separate from your Google account in the owner profile.