## Summary
Add missing delete and bookmark actions for user blueprints in the V2
node library sidebar, fixing parity with the V1 sidebar.
## Changes
- **What**:
- Add delete button (inline + context menu) for user blueprints in
`TreeExplorerV2Node` and `TreeExplorerV2`
- Extract `isUserBlueprint()` helper in `subgraphStore` for DRY usage
across V1/V2 sidebars

## Review Focus
- `isUserBlueprint` consolidates logic previously duplicated between
`NodeTreeLeaf` and the new V2 components
- Context menu guard `contextMenuNode?.data` prevents showing empty
menus
- Folder `@contextmenu` handler clears stale `contextMenuNode` to
prevent wrong actions
┆Issue is synchronized with this [Notion
page](https://www.notion.so/PR-10827-fix-add-delete-bookmark-actions-for-blueprints-in-V2-node-library-sidebar-3366d73d36508111afd2c2c7d8ff0220)
by [Unito](https://www.unito.io)
## Summary
Implement 11 Figma design discrepancies for the Node Library sidebar and
V2 Node Search dialog, aligning the UI with the [Toolbox Figma
design](https://www.figma.com/design/xMFxCziXJe6Denz4dpDGTq/Toolbox?node-id=2074-21394&m=dev).
## Changes
- **What**: Sidebar: reorder tabs (All/Essentials/Blueprints), rename
Custom→Blueprints, uppercase section headers, chevron-left of folder
icon, bookmark-on-hover for node rows, filter dropdown with checkbox
items, sort labels (Categorized/A-Z) with label-left/check-right layout,
hide section headers in A-Z mode. Search dialog: expand filter chips
from 3→6, add Recents and source categories to sidebar, remove "Filter
by" label. Pull foundation V2 components from merged PR #8548.
- **Dependencies**: Depends on #8987 (V2 Node Search) and #8548
(NodeLibrarySidebarTabV2)
## Review Focus
- Filter dropdown (`filterOptions`) is UI-scaffolded but not yet wired
to filtering logic (pending V2 integration)
- "Recents" category currently returns frequency-based results as
placeholder until a usage-tracking store is implemented
- Pre-existing type errors from V2 PR dependencies not in the base
commit (SearchBoxV2, usePerTabState, TextTicker, getProviderIcon,
getLinkTypeColor, SidebarContainerKey) are expected and will resolve
when rebased onto main after parent PRs land
┆Issue is synchronized with this [Notion
page](https://www.notion.so/PR-9085-feat-Node-Library-sidebar-and-V2-Search-dialog-Figma-design-improvements-30f6d73d36508175bf72d716f5904476)
by [Unito](https://www.unito.io)
---------
Co-authored-by: Yourz <crazilou@vip.qq.com>
Co-authored-by: github-actions <github-actions@github.com>