OrangeMamba I would like to receive notifications from apps on my main profile without Google Play Services.
You need to select SOFTWARE that doesn't kowtow to google and actually implements this feature properly. Examples; most decent email clients like Fairemail or Thunderbird/K9Mail can provide push notifications if using the IMAP protocol, most SIP softphone registrations like Linphone, Nextcloud Push (server sent events / SSE) https://gitlab.com/Nextcloud-Push .
Early on, google went to great lengths to scare software developers away from doing push notifications correctly and instead routing their notifications through google. Why? Because google is a data harvester so they don't want messages to bypass them or they won't be able to harvest that data. How? By pretending that doing it the google way will save power and make batteries last longer, which is false. Well, mostly false. Obviously by doing things STUPIDLY, like polling a server every 5 seconds, a lot of battery will be wasted, but doing things correctly by opening a persistent connection with a server (example; websocket or SSE) will NOT draw excess battery.
Note: A lot of people don't actually understand what a persistent connection actually entails. Some envision it (incorrectly) as being some kind of a data flow that would consume power to maintain, where what it really is, is just a state given to routers so that they know how to deliver a message back to you.