Warmup FlutterWebManager earlier (#600)

diff --git a/lib/src/analysis_servers.dart b/lib/src/analysis_servers.dart
index 766d80d..1b89bfb 100644
--- a/lib/src/analysis_servers.dart
+++ b/lib/src/analysis_servers.dart
@@ -49,6 +49,9 @@
     _flutterWebManager = FlutterWebManager(SdkManager.flutterSdk);
     _flutterAnalysisServer = FlutterAnalysisServerWrapper(_flutterWebManager);
 
+    await _flutterWebManager.warmup();
+    _logger.info('FlutterWebManager warmed up');
+
     await _dartAnalysisServer.init();
     _logger.info('Dart analysis server initialized.');
 
@@ -72,7 +75,6 @@
     _restartingSince = null;
 
     return Future.wait(<Future<dynamic>>[
-      _flutterWebManager.warmup(),
       _flutterAnalysisServer.warmup(),
       _dartAnalysisServer.warmup(),
     ]);