fix(space): HUD 시작 흐름과 컨트롤 상태를 정리

src/widgets/space-focus-hud/ui/SpaceFocusHudWidget.tsx

@@ -8,11 +8,15 @@ interface SpaceFocusHudWidgetProps {
   timerLabel: string;
   timeDisplay?: string;
   visible: boolean;
+  hasActiveSession?: boolean;
   playbackState?: 'running' | 'paused';
   sessionPhase?: 'focus' | 'break' | null;
   isSessionActionPending?: boolean;
+  canStartSession?: boolean;
+  canPauseSession?: boolean;
+  canRestartSession?: boolean;
+  onStartRequested?: () => void;
   onPauseRequested?: () => void;
-  onResumeRequested?: () => void;
   onRestartRequested?: () => void;
   onGoalUpdate: (nextGoal: string) => void | Promise<void>;
   onStatusMessage: (payload: HudStatusLinePayload) => void;
@@ -23,11 +27,15 @@ export const SpaceFocusHudWidget = ({
   timerLabel,
   timeDisplay,
   visible,
-  playbackState = 'running',
+  hasActiveSession = false,
+  playbackState = 'paused',
   sessionPhase = 'focus',
   isSessionActionPending = false,
+  canStartSession = false,
+  canPauseSession = false,
+  canRestartSession = false,
+  onStartRequested,
   onPauseRequested,
-  onResumeRequested,
   onRestartRequested,
   onGoalUpdate,
   onStatusMessage,
@@ -48,14 +56,14 @@ export const SpaceFocusHudWidget = ({
   }, []);
 
   useEffect(() => {
-    if (visible && !visibleRef.current) {
+    if (visible && !visibleRef.current && playbackState === 'running') {
       onStatusMessage({
         message: `이번 한 조각 · ${normalizedGoal}`,
       });
     }
 
     visibleRef.current = visible;
-  }, [normalizedGoal, onStatusMessage, visible]);
+  }, [normalizedGoal, onStatusMessage, playbackState, visible]);
 
   useEffect(() => {
     if (playbackStateRef.current === 'paused' && playbackState === 'running' && visible) {
@@ -82,12 +90,16 @@ export const SpaceFocusHudWidget = ({
         goal={goal}
         timeDisplay={timeDisplay}
         isImmersionMode
+        hasActiveSession={hasActiveSession}
         sessionPhase={sessionPhase}
         playbackState={playbackState}
         isControlsDisabled={isSessionActionPending}
+        canStart={canStartSession}
+        canPause={canPauseSession}
+        canReset={canRestartSession}
         className="pr-[4.2rem]"
         onGoalCompleteRequest={handleOpenCompleteSheet}
-        onStartClick={onResumeRequested}
+        onStartClick={onStartRequested}
         onPauseClick={onPauseRequested}
         onResetClick={onRestartRequested}
       />
@@ -110,9 +122,6 @@ export const SpaceFocusHudWidget = ({
         onConfirm={(nextGoal) => {
           void onGoalUpdate(nextGoal);
           setSheetOpen(false);
-          onStatusMessage({
-            message: `이번 한 조각 · ${nextGoal}`,
-          });
         }}
       />
     </>