Change WokerThread to use a blink::WebThread

Source/core/inspector/WorkerRuntimeAgent.cpp

Index: Source/core/inspector/WorkerRuntimeAgent.cpp
diff --git a/Source/core/inspector/WorkerRuntimeAgent.cpp b/Source/core/inspector/WorkerRuntimeAgent.cpp
index 9ba04ed4169ec1bb649248d279f12e41df7afb39..3f66c2f3df4a5783cedf5dcc750711fd96aa7d46 100644
--- a/Source/core/inspector/WorkerRuntimeAgent.cpp
+++ b/Source/core/inspector/WorkerRuntimeAgent.cpp
@@ -37,7 +37,6 @@
 #include "core/inspector/InstrumentingAgents.h"
 #include "core/inspector/WorkerDebuggerAgent.h"
 #include "core/workers/WorkerGlobalScope.h"
-#include "core/workers/WorkerRunLoop.h"
 #include "core/workers/WorkerThread.h"
 
 namespace blink {
@@ -114,10 +113,12 @@ void WorkerRuntimeAgent::willEvaluateWorkerScript(WorkerGlobalScope* context, in
 
     m_paused = true;
     MessageQueueWaitResult result;
+    context->thread()->willEnterNestedLoop();
     do {
-        result = context->thread()->runLoop().runDebuggerTask();
+        result = context->thread()->runDebuggerTask();
     // Keep waiting until execution is resumed.
     } while (result == MessageQueueMessageReceived && m_paused);
+    context->thread()->didLeaveNestedLoop();
 }
 
 } // namespace blink