Improve initialization hooks example (#6822)

docs/usage/dataclasses.md

@@ -378,25 +378,35 @@ class User:
 
     @model_validator(mode='before')
     def pre_root(cls, values: Dict[str, Any]) -> Dict[str, Any]:
-        print(values)
-        #> ArgsKwargs((), {'birth': {'year': 1995, 'month': 3, 'day': 2}})
+        print(f'First: {values}')
+        """
+        First: ArgsKwargs((), {'birth': {'year': 1995, 'month': 3, 'day': 2}})
+        """
         return values
 
     @model_validator(mode='after')
     def post_root(self) -> 'User':
-        print(self)
-        #> User(birth=Birth(year=1995, month=3, day=2))
+        print(f'Third: {self}')
+        #> Third: User(birth=Birth(year=1995, month=3, day=2))
         return self
 
     def __post_init__(self):
-        print(self.birth)
-        #> Birth(year=1995, month=3, day=2)
+        print(f'Second: {self.birth}')
+        #> Second: Birth(year=1995, month=3, day=2)
 
 
 user = User(**{'birth': {'year': 1995, 'month': 3, 'day': 2}})
 ```
 
-The `__post_init__` in Pydantic dataclasses is called _after_ validation, rather than before.
+The `__post_init__` in Pydantic dataclasses is called in the _middle_ of validators.
+Here is the order:
+
+* `model_validator(mode='before')`
+* `field_validator(mode='before')`
+* `field_validator(mode='after')`
+* Inner validators. e.g. validation for types like `int`, `str`, ...
+* `__post_init__`.
+* `model_validator(mode='after')`
 
 
 ```py requires="3.8"
@@ -428,9 +438,6 @@ assert path_data.path == Path('/hello/world')
 
 Note that the `dataclasses.dataclass` from Python stdlib implements only the `__post_init__` method since it doesn't run a validation step.
 
-When substituting usage of `dataclasses.dataclass` with `pydantic.dataclasses.dataclass`, it is recommended to move the code executed in the `__post_init__` to
-methods decorated with `model_validator`.
-
 ## JSON dumping
 
 Pydantic dataclasses do not feature a `.model_dump_json()` function. To dump them as JSON, you will need to