Move first chance exception notification so the !pe works (#101190)

The recent addition of first chance exception notification for the new
EH was comming too early, so when the notification occurred, the !pe SOS
command was not able to get the actual exception yet - it was not
accessible via the Thread::ExceptionState

This change moves the notification to the first spot where the exception
state points to the exception, so the !pe works.

src/coreclr/vm/exceptionhandling.cpp

@@ -5655,8 +5655,6 @@ VOID DECLSPEC_NORETURN DispatchManagedException(OBJECTREF throwable, CONTEXT* pE
     args[ARGNUM_0] = OBJECTREF_TO_ARGHOLDER(throwable);
     args[ARGNUM_1] = PTR_TO_ARGHOLDER(&exInfo);
 
-    FirstChanceExceptionNotification();
-
     pThread->IncPreventAbort();
 
     //Ex.RhThrowEx(throwable, &exInfo)
@@ -8127,6 +8125,7 @@ static void NotifyExceptionPassStarted(StackFrameIterator *pThis, Thread *pThrea
     {
         GCX_COOP();
         pThread->SafeSetThrowables(pExInfo->m_exception);
+        FirstChanceExceptionNotification();
         EEToProfilerExceptionInterfaceWrapper::ExceptionThrown(pThread);
     }
     else // pExInfo->m_passNumber == 2