Very interesting. What skills or practices have you noticed this "level up" associated with in particular?
Planning fallacy.
Being more automatically strategic.
Not falling for mysterious answers.
More consciously noticing the difference between positive/normative statements, or when they are mixed up.
More consciously noticing connotation.
Noticing yourself rationalizing.
There might be others, availability bias. :p
Related to: What Do We Mean By "Rationality?"
Rationality has many facets, both relatively simple and quite complex. As a result, it can often be hard to determine what aspects of rationality you should or shouldn't stress.
An extremely basic and abstract model of how rationality works might look a little something like this: