Fix: Simplify the widget state logic (#6741)

## Summary

Fixes the case where a value is updated in the graph but the result
doesn't reflect on the widget representation on the relevant node.

## Changes

- **What**: Uses vanilla Vue utilities instead of a special utility
- **What**: Fewer places where state could be desynced.

┆Issue is synchronized with this [Notion
page](https://www.notion.so/PR-6741-Fix-WIP-Simplify-the-widget-state-logic-2af6d73d36508160b729db50608a2ea9)
by [Unito](https://www.unito.io)

---------

Co-authored-by: github-actions <github-actions@github.com>

src/renderer/extensions/vueNodes/widgets/components/WidgetInputText.vue

@@ -1,13 +1,12 @@
 <template>
   <WidgetLayoutField :widget="widget">
     <InputText
-      v-model="localValue"
+      v-model="modelValue"
       v-bind="filteredProps"
       :class="cn(WidgetInputBaseClass, 'w-full text-xs py-2 px-4')"
       :aria-label="widget.name"
       size="small"
       :pt="{ root: 'truncate min-w-[4ch]' }"
-      @update:model-value="onChange"
     />
   </WidgetLayoutField>
 </template>
@@ -16,7 +15,6 @@
 import InputText from 'primevue/inputtext'
 import { computed } from 'vue'
 
-import { useStringWidgetValue } from '@/composables/graph/useWidgetValue'
 import type { SimplifiedWidget } from '@/types/simplifiedWidget'
 import { cn } from '@/utils/tailwindUtil'
 import {
@@ -29,19 +27,9 @@ import WidgetLayoutField from './layout/WidgetLayoutField.vue'
 
 const props = defineProps<{
   widget: SimplifiedWidget<string>
-  modelValue: string
 }>()
 
-const emit = defineEmits<{
-  'update:modelValue': [value: string]
-}>()
-
-// Use the composable for consistent widget value handling
-const { localValue, onChange } = useStringWidgetValue(
-  props.widget,
-  props.modelValue,
-  emit
-)
+const modelValue = defineModel<string>({ default: '' })
 
 const filteredProps = computed(() =>
   filterWidgetProps(props.widget.options, INPUT_EXCLUDED_PROPS)