docs: Add Component, GameObject, TransformComponent and Scene API documentation

- Add Component class documentation with lifecycle methods
- Add GameObject class documentation with component system
- Add TransformComponent documentation with transform methods
- Add Scene class documentation with GameObject management
- Add SceneManager singleton documentation with scene loading
- Update components.md overview with all component classes
- Update main.md navigation with Scene module

docs/api/components/transform-component/set-parent.md

@@ -0,0 +1,31 @@
+# SetParent
+
+Set the parent transform.
+
+## Syntax
+
+```cpp
+void SetParent(TransformComponent* parent, bool worldPositionStays = true);
+```
+
+## Parameters
+
+- `parent` - The new parent transform, or `nullptr` to detach from parent.
+- `worldPositionStays` - If `true`, the world position remains unchanged after reparenting.
+
+## Remarks
+
+Sets the parent of this transform. When `worldPositionStays` is `true`, the world position is preserved, which may adjust the local position. When `false`, the local position is preserved, which may adjust the world position.
+
+## See Also
+
+- [GetParent](get-parent)
+- [DetachChildren](detach-children)
+
+## Examples
+
+```cpp
+void Example(TransformComponent* child, TransformComponent* newParent) {
+    child->SetParent(newParent, true);
+}
+```