Documentation: Support nested config

* Add examples to pydantic models.

src/akkudoktoreos/core/logsettings.py

@@ -14,10 +14,12 @@ from akkudoktoreos.core.logabc import logging_str_to_level
 
 
 class LoggingCommonSettings(SettingsBaseModel):
-    """Common settings for logging."""
+    """Logging Configuration."""
 
     logging_level_default: Optional[str] = Field(
-        default=None, description="EOS default logging level."
+        default=None,
+        description="EOS default logging level.",
+        examples=["INFO", "DEBUG", "WARNING", "ERROR", "CRITICAL"],
     )
 
     # Validators

src/akkudoktoreos/core/pydantic.py

@@ -128,9 +128,16 @@ class PydanticBaseModel(BaseModel):
         return value
 
     # Override Pydantic’s serialization for all DateTime fields
-    def model_dump(self, *args: Any, **kwargs: Any) -> dict:
+    def model_dump(
+        self, *args: Any, include_computed_fields: bool = True, **kwargs: Any
+    ) -> dict[str, Any]:
         """Custom dump method to handle serialization for DateTime fields."""
         result = super().model_dump(*args, **kwargs)
+
+        if not include_computed_fields:
+            for computed_field_name in self.model_computed_fields:
+                result.pop(computed_field_name, None)
+
         for key, value in result.items():
             if isinstance(value, pendulum.DateTime):
                 result[key] = PydanticTypeAdapterDateTime.serialize(value)
@@ -185,6 +192,10 @@ class PydanticBaseModel(BaseModel):
         """
         return cls.model_validate(data)
 
+    def model_dump_json(self, *args: Any, indent: Optional[int] = None, **kwargs: Any) -> str:
+        data = self.model_dump(*args, **kwargs)
+        return json.dumps(data, indent=indent, default=str)
+
     def to_json(self) -> str:
         """Convert the PydanticBaseModel instance to a JSON string.