To escape the current context and run as the "Automated Process" user (high priviliges), do this:
First define a platform event. For example: Async_Message__e with a paylod and a type.
Then define an AsyncActionUtil class. This will contain a way of inserting these platform events and handling them after insert. The class should contain an insert method:
public static void insertAsyncMessage(String type, String payload) {
Async_Message__e[] messages = new List<Async_Message__e>{
new Async_Message__e(Type__c = type, Payload__c = payload)
};