use the dart analyze command to analyze source (#22212)

lib/web_ui/dev/web_engine_analysis.sh

@@ -2,7 +2,7 @@
 set -e
 set -x
 
-# web_analysis: a command-line utility for running dart analyzer on Flutter Web
+# web_analysis: a command-line utility for running 'dart analyze' on Flutter Web
 # Engine. Used/Called by LUCI recipes:
 #
 # See: https://flutter.googlesource.com/recipes/+/refs/heads/master/recipes/web_engine.py
@@ -11,10 +11,10 @@ echo "Engine path $ENGINE_PATH"
 
 DART_SDK_DIR="${ENGINE_PATH}/src/out/host_debug_unopt/dart-sdk"
 PUB_PATH="$DART_SDK_DIR/bin/pub"
-DART_ANALYZER_PATH="$DART_SDK_DIR/bin/dartanalyzer"
+DART_PATH="$DART_SDK_DIR/bin/dart"
 
 echo "Running \`pub get\` in 'engine/src/flutter/lib/web_ui'"
 (cd "$WEB_UI_DIR"; $PUB_PATH get)
 
-echo "Running \`dartanalyzer\` in 'engine/src/flutter/lib/web_ui'"
-(cd "$WEB_UI_DIR"; $DART_ANALYZER_PATH --enable-experiment=non-nullable --fatal-warnings --fatal-hints dev/ lib/ test/ tool/)
+echo "Running \`dart analyze\` in 'engine/src/flutter/lib/web_ui'"
+(cd "$WEB_UI_DIR"; $DART_PATH analyze --fatal-infos)