Issue
I have recently swapped my Pixel 6 for an 8a, knowing the 8a build is still in its prerelease stage.

I have had no issues so far, except a mild annoyance, which is that I get the "Play Store needs to update Play services - It's recommended to allow this. Tap to proceed." notification every day, regardless of what I do.

When I tap the notification, it just opens the Google Play Store front-page.

Details
I have already looked through the following topics, but none of the suggestions solved this for me:

I have allowed Google Play Store to "Install unknown apps" via "Allow from this source", but not "Allow access to Android/obb folder". Other permissions granted are "Network" and "Notifications". Modify system settings is not allowed, I am not sure if that is relevant. I didn't touch the exploit protection settings.

Checking the Google Play services' "App info" shows only an installation date (May 25, 2024; 20:46) not an updated date.

Google Play services version: 24.15.17 (190400-626366329)
Google Play Store version: 41.2.21-31 [0] [PR] 636997666
OS build number: 2024051600
Channel: stable

Is there anything I could/should do about this as a user at this point?
Maybe there are some other permissions or settings I should try resetting?

Edit: I sadly cannot compare settings between the 8a and 6 anymore, as I sold the 6 already.

    Gambloide The only thing I can think of off the top of my head is is this a secondary user profile? If so, does the profile have access to install apps? You can verify the settings from the owner profile in Settings > System > Multiple users > *username*

        other8026 Nope, multiple profile support is disabled. Owner is the only profile and I never enabled multi profile support.

          fid02 This seems to have done the trick. Thank you!

          I was able to manually update Google Play Services following these steps.
          It now also shows as updated in the App info with a newer version: 24.21.13 (190400-638380824)

          I assume I'd only be able to judge if this also solved the issue with the notification when there is a newer version available in the future AND the notification is still required.

            15 days later

            Just to conclude this topic: fid02's suggestion did indeed solve this properly.

            By now Google Play services is on v24.22.13 without any manual intervention on my end. I also didn't see the notification again.

            7 months later

            Greetings,

            this issue is maybe not solved (or not solved for non-GrapheneOS experts).

            I get the message from the OP every single time I switch between back to Owner from work wirh my two profiles:
            Profile1: Owner, Google Play*, used Google Play to download but not install work apps, for:
            Profile2: Work, only work apps and installed the ones downloaded from Owner here.

            I tried fid02's link to install things manually from Owner's profile. I select Update and it downloads. After that it errors out with "Can't install Google play services. Try again.....".
            I'm using GrapheneOS since 2 months or so and realize this issue since around 1 month(?).
            Any clues?