Support "control after generate" in vue (#6985)

Continuation of #6034 with
- Updated synchronization for seed
- Properly truncates the displayed widget value for the button
- Synchronizes control after generate state with litegraph and allows
for serialization

Several issues from original PR have not (yet) been addressed, but are
likely better moved to future PR
- fix step value being 10 (legacy system)
- ensure it works with COMBO (Fixed in #7095)
- ensure it works with FLOAT (Fixed in #7095)
- either implement or remove the config button functionality - think it
should open settings?

<img width="280" height="694" alt="image"
src="https://github.com/user-attachments/assets/f36f1cb0-237d-4bfc-bff1-e4976775cf98"
/>

┆Issue is synchronized with this [Notion
page](https://www.notion.so/PR-6985-Support-control-after-generate-in-vue-2b86d73d365081d8b01ce489d887ff00)
by [Unito](https://www.unito.io)

---------

Co-authored-by: bymyself <cbyrne@comfy.org>
Co-authored-by: github-actions <github-actions@github.com>

tests-ui/tests/renderer/extensions/vueNodes/widgets/composables/useWidgetRenderer.test.ts

@@ -1,4 +1,6 @@
-import { describe, expect, it, vi } from 'vitest'
+import { setActivePinia } from 'pinia'
+import { createTestingPinia } from '@pinia/testing'
+import { beforeEach, describe, expect, it, vi } from 'vitest'
 
 import {
   getComponent,
@@ -26,7 +28,18 @@ vi.mock('@/stores/queueStore', () => ({
   }))
 }))
 
+// Mock the settings store for components that might use it
+vi.mock('@/platform/settings/settingStore', () => ({
+  useSettingStore: () => ({
+    get: vi.fn(() => 'before')
+  })
+}))
+
 describe('widgetRegistry', () => {
+  beforeEach(() => {
+    setActivePinia(createTestingPinia())
+    vi.clearAllMocks()
+  })
   describe('getComponent', () => {
     // Test number type mappings
     describe('number types', () => {