Dialog receiving WM_COMMAND over and over again.

I've got a dialog that under certain circumstances (when a radio
button is pressed), needs to create another thread and wait for it to
finish. While it is waiting, it processes the windows message loop
(PeekMessage with PM_NOREMOVE) and sends all messages down through the
app via AfxGetApp()->PumpMessage().

Let's call the radio button ID_DO_WORK.

If the user clicks ID_DO WORK with the mouse to start this chain of
events, every thing works fine. However if the user uses keyboard
shortcuts to "press" the radio button, I get into this hideous
nightmare. I keep getting the same WM_COMMAND with ID_DO_WORK over
and over again -- the same one I am already processing.

I cannot figure out why a keyboard activation causes this while a
mouse click does not. Should I be ignoring certain messages in my
loop? Should I be calling something besides PumpMessage().

Here is the relevant code:

            // NOW WAIT ON A SINGLE MESSAGE
            dwExitCode = MsgWaitForMultipleObjects (1,
                                                    (LPHANDLE)
&hThread,
                                                    false,
 
dwRemainingTimeOutMs,
                                                    QS_ALLEVENTS |
QS_ALLINPUT);

            // NOW TEST THE EXIT CODE
            if (dwExitCode == WAIT_OBJECT_0)
            {
                // THREAD HAS SUCCESSFULLY COMPLETED
                bExitWaitLoop = true;

                // THREAD GOT SIGNALLED (EXITED) OK
                ::GetExitCodeThread (hThread, &dwExitCode);

                iRetCode = (int)dwExitCode;
            }
            else if (dwExitCode == WAIT_OBJECT_0 + 1)
            {
                // AT LEAST ONE WINDOWS MESSAGE IS WAITING TO BE
PROCESSED

                while (::PeekMessage (&rxMsg, NULL, 0, 0,
PM_NOREMOVE))
                {
                    TRACE(_T("Work thread got message 0x%X\n"),
rxMsg.message);

                    // SEND THE MESSAGE BACK TO THE MAIN APP
                    if (!AfxGetApp ()->PumpMessage ())
                    {
                        // GUARD AGAINST IT NOT BEING A QUIT MESSAGE!
                        ::PostQuitMessage (0);

                        // FORCE PROGRAM TO QUIT
                        bExitWaitLoop = true;
                    }
                }
            }
            else
            {
                // ASSUME A TIMEOUT HERE
                bExitWaitLoop = true;

                iRetCode = CWT_THREAD_TIMEDOUT;
            }