Can we define craving without mentioning self?

Namo Buddhaya. According to the Mahayana Pratityasamutpadavibhanganirdesa Sutra, there are three cravings: craving for the sense-realm, craving for the form-realm, and craving for the formless-realm. But I couldn't find any definition of craving itself in the scriptures. I am trying to understand what is craving by reading or finding the examples of craving.If you give examples of craving then you will find that craving can not be defined without mentioning self or I. For example I want ice cream , I am good , I am bad, I am good because of this, I am bad because of this, I love music, I want to watch movies, I want to travel etc... Therefore it seems to me that non-understanding of anatta is at the root of craving. In other words if I declare the aggregates as worthless then then there will be revulsion and dispassion which is nothing but the end of craving. Further I can say that practice of anatta directly leads to cessation of craving. I have two questions in this regard: 1. Can we define craving without mentioning self? 2. Is it true that practice of anatta directly leads to cessation of craving?