[path_provider] Update win32 (#6352)

diff --git a/packages/path_provider/path_provider_windows/CHANGELOG.md b/packages/path_provider/path_provider_windows/CHANGELOG.md
index 9f42b3d..757f13d 100644
--- a/packages/path_provider/path_provider_windows/CHANGELOG.md
+++ b/packages/path_provider/path_provider_windows/CHANGELOG.md
@@ -1,6 +1,7 @@
-## NEXT
+## 2.1.3
 
 * Updates minimum Flutter version to 2.10.
+* Adds compatibility with `package:win32` 3.x.
 
 ## 2.1.2
 
diff --git a/packages/path_provider/path_provider_windows/pubspec.yaml b/packages/path_provider/path_provider_windows/pubspec.yaml
index 421a095..c89e9a8 100644
--- a/packages/path_provider/path_provider_windows/pubspec.yaml
+++ b/packages/path_provider/path_provider_windows/pubspec.yaml
@@ -2,7 +2,7 @@
 description: Windows implementation of the path_provider plugin
 repository: https://github.com/flutter/plugins/tree/main/packages/path_provider/path_provider_windows
 issue_tracker: https://github.com/flutter/flutter/issues?q=is%3Aissue+is%3Aopen+label%3A%22p%3A+path_provider%22
-version: 2.1.2
+version: 2.1.3
 
 environment:
   sdk: ">=2.17.0 <3.0.0"
@@ -21,7 +21,7 @@
     sdk: flutter
   path: ^1.8.0
   path_provider_platform_interface: ^2.0.0
-  win32: ^2.1.0
+  win32: ">=2.1.0 <4.0.0"
 
 dev_dependencies:
   flutter_test: