Support search filtering to dynamic input types (#9388)

Previously, MatchType and Autogrow inputs would not be considered would
filtering searchbox entires. For example, "Batch Images" would not show
as a suggestion would dragging a noodle from a "Load Image" node.

This is resolved by adding a step during nodeDef registration to
precalculate a list of all input types. This may have performance
implications.
- Search filtering should be more performant
- Initial node registration will be slower
- There's additional memory cost to store this information on every
node.

┆Issue is synchronized with this [Notion
page](https://www.notion.so/PR-9388-Support-search-filtering-to-dynamic-input-types-3196d73d365081d9939eff5e167a7e83)
by [Unito](https://www.unito.io)

src/stores/nodeDefStore.ts

@@ -6,6 +6,7 @@ import { computed, ref, watchEffect } from 'vue'
 import { t } from '@/i18n'
 import { isPromotedWidgetView } from '@/core/graph/subgraph/promotedWidgetTypes'
 import { resolvePromotedWidgetSource } from '@/core/graph/subgraph/resolvePromotedWidgetSource'
+import { resolveInputType } from '@/core/graph/widgets/dynamicTypes'
 import { LiteGraph } from '@/lib/litegraph/src/litegraph'
 import type { LGraphNode } from '@/lib/litegraph/src/litegraph'
 import { transformNodeDefV1ToV2 } from '@/schemas/nodeDef/migration'
@@ -98,6 +99,7 @@ export class ComfyNodeDefImpl
 
   // ComfyNodeDefImpl fields
   readonly nodeSource: NodeSource
+  readonly inputTypes: string[]
 
   /**
    * @internal
@@ -179,6 +181,9 @@ export class ComfyNodeDefImpl
 
     // Initialize node source
     this.nodeSource = getNodeSource(obj.python_module, this.essentials_category)
+    this.inputTypes = _.uniq(
+      Object.values(this.inputs).flatMap(resolveInputType)
+    )
   }
 
   get nodePath(): string {