[ci] Roll tooling to 0.13.2 (#2964)

Picks up minor improvements, most notably understanding that Pigeon's
platform_tests are dev-only changes that don't need changelog or version
updates.
diff --git a/.ci/scripts/prepare_tool.sh b/.ci/scripts/prepare_tool.sh
index 6ab8dbc..30ea0db 100755
--- a/.ci/scripts/prepare_tool.sh
+++ b/.ci/scripts/prepare_tool.sh
@@ -8,4 +8,4 @@
 
 # Pinned version of the plugin tools, to avoid breakage in this repository
 # when pushing updates from flutter/plugins.
-dart pub global activate flutter_plugin_tools 0.13.0
+dart pub global activate flutter_plugin_tools 0.13.2
diff --git a/.github/workflows/release.yml b/.github/workflows/release.yml
index 6655836..97ab18c 100644
--- a/.github/workflows/release.yml
+++ b/.github/workflows/release.yml
@@ -31,7 +31,7 @@
       with:
         fetch-depth: 0 # Fetch all history so the tool can get all the tags to determine version.
     - name: Set up tools
-      run: dart pub global activate flutter_plugin_tools 0.13.0
+      run: dart pub global activate flutter_plugin_tools 0.13.2
 
     # # This workflow should be the last to run. So wait for all the other tests to succeed.
     - name: Wait on all tests