[refactor] Migrate manager code from src/composables to src/workbench/extensions/manager (2/2) (#5722)

## Summary

Continuation of

- https://github.com/Comfy-Org/ComfyUI_frontend/pull/5662

┆Issue is synchronized with this [Notion
page](https://www.notion.so/PR-5722-refactor-Migrate-manager-code-from-src-composables-to-src-workbench-extensions-manag-2766d73d36508165a4f5e1940967248f)
by [Unito](https://www.unito.io)

---------

Co-authored-by: Alexander Brown <drjkl@comfy.org>

src/workbench/extensions/manager/composables/useConflictAcknowledgment.ts

@@ -0,0 +1,101 @@
+import { useStorage } from '@vueuse/core'
+import { computed } from 'vue'
+
+import { useConflictDetectionStore } from '@/workbench/extensions/manager/stores/conflictDetectionStore'
+
+/**
+ * LocalStorage keys for conflict acknowledgment tracking
+ */
+const STORAGE_KEYS = {
+  CONFLICT_MODAL_DISMISSED: 'Comfy.ConflictModalDismissed',
+  CONFLICT_RED_DOT_DISMISSED: 'Comfy.ConflictRedDotDismissed',
+  CONFLICT_WARNING_BANNER_DISMISSED: 'Comfy.ConflictWarningBannerDismissed'
+} as const
+
+/**
+ * Interface for conflict acknowledgment state
+ */
+interface ConflictAcknowledgmentState {
+  modal_dismissed: boolean
+  red_dot_dismissed: boolean
+  warning_banner_dismissed: boolean
+}
+
+// Shared state - initialized once and reused across all composable calls
+const modalDismissed = useStorage(STORAGE_KEYS.CONFLICT_MODAL_DISMISSED, false)
+const redDotDismissed = useStorage(
+  STORAGE_KEYS.CONFLICT_RED_DOT_DISMISSED,
+  false
+)
+const warningBannerDismissed = useStorage(
+  STORAGE_KEYS.CONFLICT_WARNING_BANNER_DISMISSED,
+  false
+)
+
+/**
+ * Composable for managing conflict acknowledgment state in localStorage
+ *
+ * This handles:
+ * - Tracking whether conflict modal has been dismissed
+ * - Tracking whether red dot notification has been cleared
+ * - Managing per-package conflict acknowledgments
+ * - Detecting ComfyUI version changes to reset acknowledgment state
+ */
+export function useConflictAcknowledgment() {
+  const conflictDetectionStore = useConflictDetectionStore()
+
+  // Create computed state object for backward compatibility
+  const state = computed<ConflictAcknowledgmentState>(() => ({
+    modal_dismissed: modalDismissed.value,
+    red_dot_dismissed: redDotDismissed.value,
+    warning_banner_dismissed: warningBannerDismissed.value
+  }))
+
+  /**
+   * Mark red dot notification as dismissed
+   */
+  function dismissRedDotNotification(): void {
+    redDotDismissed.value = true
+  }
+
+  /**
+   * Mark manager warning banner as dismissed
+   */
+  function dismissWarningBanner(): void {
+    warningBannerDismissed.value = true
+    redDotDismissed.value = true
+  }
+
+  /**
+   * Mark conflicts as seen (unified function for help center and manager)
+   */
+  function markConflictsAsSeen(): void {
+    redDotDismissed.value = true
+    modalDismissed.value = true
+    warningBannerDismissed.value = true
+  }
+
+  const hasConflicts = computed(() => conflictDetectionStore.hasConflicts)
+  const shouldShowConflictModal = computed(() => !modalDismissed.value)
+  const shouldShowRedDot = computed(() => {
+    if (!hasConflicts.value) return false
+    if (redDotDismissed.value) return false
+    return true
+  })
+  const shouldShowManagerBanner = computed(() => {
+    return hasConflicts.value && !warningBannerDismissed.value
+  })
+
+  return {
+    // State
+    acknowledgmentState: state,
+    shouldShowConflictModal,
+    shouldShowRedDot,
+    shouldShowManagerBanner,
+
+    // Methods
+    dismissRedDotNotification,
+    dismissWarningBanner,
+    markConflictsAsSeen
+  }
+}