Flutter 2.2.1 (#721)

diff --git a/README.md b/README.md
index 9de89cc..4286b5b 100644
--- a/README.md
+++ b/README.md
@@ -19,7 +19,7 @@
 This project is built with [grinder](https://pub.dev/packages/grinder). To install, please run:
 
 ```bash
-$ pub global activate grinder
+$ dart pub global activate grinder
 ```
 
 The dart-services v2 API is defined in terms of Protobuf, which requires the
@@ -35,7 +35,7 @@
 to generate Dart code. To install, please run:
 
 ```bash
-$ pub global activate protoc_plugin
+$ dart pub global activate protoc_plugin
 ```
 
 ## Initialise Flutter
diff --git a/analysis_options.yaml b/analysis_options.yaml
index f923125..113775f 100644
--- a/analysis_options.yaml
+++ b/analysis_options.yaml
@@ -1,5 +1,3 @@
-# Dart analyzer dislikes this line. https://github.com/dart-lang/dart-pad/issues/1720
-# include: package:pedantic/analysis_options.1.11.0.yaml
 include: package:lints/recommended.yaml
 
 analyzer:
@@ -9,9 +7,10 @@
     implicit-casts: false
   exclude:
     - dart-sdk/**
-    - flutter-sdk/**
     - doc/generated/**
-    - flutter/**
+    - flutter-sdk/**
+    - project_templates/null-safe/dart_project/**
+    - project_templates/null-unsafe/dart_project/**
     # TODO: This seems to be hiding ~2 dozen legitimate analysis issues. https://github.com/dart-lang/dart-pad/issues/1712
     - lib/src/protos/**
 
diff --git a/cloud_run.Dockerfile b/cloud_run.Dockerfile
index 49c9eb5..041e015 100644
--- a/cloud_run.Dockerfile
+++ b/cloud_run.Dockerfile
@@ -1,4 +1,4 @@
-FROM google/dart:2.13.0
+FROM google/dart:2.13.1
 
 # We install unzip and remove the apt-index again to keep the
 # docker image diff small.
diff --git a/cloud_run_null_safety.Dockerfile b/cloud_run_null_safety.Dockerfile
index 6f16d5c..4e313fc 100644
--- a/cloud_run_null_safety.Dockerfile
+++ b/cloud_run_null_safety.Dockerfile
@@ -1,4 +1,4 @@
-FROM google/dart:2.13.0
+FROM google/dart:2.13.1
 
 # We install unzip and remove the apt-index again to keep the
 # docker image diff small.
diff --git a/flutter-sdk-version.yaml b/flutter-sdk-version.yaml
index 610de0d..81fb089 100644
--- a/flutter-sdk-version.yaml
+++ b/flutter-sdk-version.yaml
@@ -12,4 +12,4 @@
 
 flutter_sdk:
   # channel: beta
-  version: 2.2.0
+  version: 2.2.1