[refactor] Migrate manager code to DDD structure (#5662)

## Summary

Reorganized custom nodes manager functionality from scattered technical
layers into a cohesive domain-focused module following [domain-driven
design](https://en.wikipedia.org/wiki/Domain-driven_design) principles.

## Changes

- **What**: Migrated all manager code from technical layers
(`src/components/`, `src/stores/`, etc.) to unified domain structure at
`src/workbench/extensions/manager/`
- **Breaking**: Import paths changed for all manager-related modules
(40+ files updated)

## Review Focus

Verify all import path updates are correct and no circular dependencies
introduced. Check that [Vue 3 composition
API](https://vuejs.org/guide/reusability/composables.html) patterns
remain consistent across relocated composables.


┆Issue is synchronized with this [Notion
page](https://www.notion.so/PR-5662-refactor-Migrate-manager-code-to-DDD-structure-2736d73d3650812c87faf6ed0fffb196)
by [Unito](https://www.unito.io)

src/types/comfyManagerTypes.ts

@@ -1,58 +0,0 @@
-import type { InjectionKey, Ref } from 'vue'
-
-import type { AlgoliaNodePack } from '@/types/algoliaTypes'
-import type { components } from '@/types/comfyRegistryTypes'
-
-export type RegistryPack = components['schemas']['Node']
-export type MergedNodePack = RegistryPack & AlgoliaNodePack
-export const isMergedNodePack = (
-  nodePack: RegistryPack | AlgoliaNodePack
-): nodePack is MergedNodePack => 'comfy_nodes' in nodePack
-
-export const IsInstallingKey: InjectionKey<Ref<boolean>> =
-  Symbol('isInstalling')
-
-export enum ManagerTab {
-  All = 'all',
-  Installed = 'installed',
-  Workflow = 'workflow',
-  Missing = 'missing',
-  UpdateAvailable = 'updateAvailable'
-}
-
-export interface TabItem {
-  id: ManagerTab
-  label: string
-  icon: string
-}
-
-export type TaskLog = {
-  taskName: string
-  taskId: string
-  logs: string[]
-}
-
-export interface UseNodePacksOptions {
-  immediate?: boolean
-  maxConcurrent?: number
-}
-
-export interface SearchOption<T> {
-  id: T
-  label: string
-}
-
-export enum SortableAlgoliaField {
-  Downloads = 'total_install',
-  Created = 'create_time',
-  Updated = 'update_time',
-  Publisher = 'publisher_id',
-  Name = 'name'
-}
-
-export interface ManagerState {
-  selectedTabId: ManagerTab
-  searchQuery: string
-  searchMode: 'nodes' | 'packs'
-  sortField: string
-}