Move subgraph badge into node title (#6115)

<img width="1350" height="691" alt="image"
src="https://github.com/user-attachments/assets/4a1a909f-463e-4c77-8855-6fe0a177b659"
/>

Design docs show icon as being reversed in litegraph mode. If needed,
fixing this is basically just removing a negative sign.

LiteGraph implementation was not as clean as I hoped. I can spend some
more time divining some non-magic constants, and mayybe resolve the svg
data from css styles if desired.

Resolves #4647
Resolves #6107

┆Issue is synchronized with this [Notion
page](https://www.notion.so/PR-6115-Move-subgraph-badge-into-node-title-2906d73d365081e4ba82d321fc27afed)
by [Unito](https://www.unito.io)

---------

Co-authored-by: GitHub Action <action@github.com>

src/services/litegraphService.ts

@@ -8,7 +8,6 @@ import { addWidgetPromotionOptions } from '@/core/graph/subgraph/proxyWidgetUtil
 import { showSubgraphNodeDialog } from '@/core/graph/subgraph/useSubgraphNodeDialog'
 import { st, t } from '@/i18n'
 import {
-  LGraphBadge,
   LGraphCanvas,
   LGraphEventMode,
   LGraphNode,
@@ -135,19 +134,6 @@ export const useLitegraphService = () => {
         this.#setInitialSize()
         this.serialize_widgets = true
         void extensionService.invokeExtensionsAsync('nodeCreated', this)
-        this.badges.push(
-          new LGraphBadge({
-            text: '',
-            iconOptions: {
-              unicode: '\ue96e',
-              fontFamily: 'PrimeIcons',
-              color: '#ffffff',
-              fontSize: 12
-            },
-            fgColor: '#ffffff',
-            bgColor: '#3b82f6'
-          })
-        )
       }
 
       /**