Rkpaxam Isn't the whole point of graphene so you don't have to use play services though
No.
Quite a few Android variants don't include Google Play. AOSP doesn't, for example. Some variants include MicroG. Huawei's OS includes a completely different system, as does Amazon's version of Android.
GrapheneOS is an Android variant focused on security and privacy. One feature among many features is that the Google Play infrastructure can be installed and run as a regular app without elevated privileges. GrapheneOS doesn't have a single "point", and "need not use Play Services" is not such a single point.
As @Viewpoint0232 indicates, if an app requires Google Play for some or all of its features and Google Play is missing then those features won't work, or the app will refuse to launch, or it will crash, etc. There isn't a general way to convert apps from Play-dependent apps into Play-independent apps, so GrapheneOS doesn't accomplish that.
Some app authors release multiple versions of the same app. If the version of the Ring app on your device was installed from the Play store (or from Aurora), it may well depend on Play for notifications. And if it does then Play will need the Network permission, and also special configuration for background battery usage. See this earlier post from @Viewpoint0232: https://discuss.grapheneos.org/d/11189-doorbell-apps/7