Move price badges to python nodes (#7816)

## Summary

Backend part: https://github.com/Comfy-Org/ComfyUI/pull/11582

- Move API node pricing definitions from hardcoded frontend functions to
backend-defined JSONata expressions
- Add `price_badge` field to node definition schema containing JSONata
expression and dependency declarations
- Implement async JSONata evaluation with signature-based caching for
efficient reactive updates
- Show one decimal in credit badges when meaningful (e.g., 1.5 credits
instead of 2 credits)

## Screenshots (if applicable)

<!-- Add screenshots or video recording to help explain your changes -->

┆Issue is synchronized with this [Notion
page](https://www.notion.so/PR-7816-Move-price-badges-to-python-nodes-2da6d73d365081ec815ef61f7e3c65f7)
by [Unito](https://www.unito.io)

src/renderer/extensions/vueNodes/components/NodeHeader.vue

@@ -99,6 +99,7 @@ import { computed, onErrorCaptured, ref, toValue, watch } from 'vue'
 import EditableText from '@/components/common/EditableText.vue'
 import Button from '@/components/ui/button/Button.vue'
 import type { VueNodeData } from '@/composables/graph/useGraphNodeManager'
+import { useNodePricing } from '@/composables/node/useNodePricing'
 import { useErrorHandling } from '@/composables/useErrorHandling'
 import { st } from '@/i18n'
 import { LGraphEventMode, RenderShape } from '@/lib/litegraph/src/litegraph'
@@ -183,9 +184,67 @@ const statusBadge = computed((): NodeBadgeProps | undefined =>
       : undefined
 )
 
-const nodeBadges = computed<NodeBadgeProps[]>(() =>
-  [...(nodeData?.badges ?? [])].map(toValue)
+// Use per-node pricing revision to re-compute badges only when this node's pricing updates
+const {
+  getRelevantWidgetNames,
+  hasDynamicPricing,
+  getInputGroupPrefixes,
+  getInputNames,
+  getNodeRevisionRef
+} = useNodePricing()
+// Cache pricing metadata (won't change during node lifetime)
+const isDynamicPricing = computed(() =>
+  nodeData?.apiNode ? hasDynamicPricing(nodeData.type) : false
 )
+const relevantPricingWidgets = computed(() =>
+  nodeData?.apiNode ? getRelevantWidgetNames(nodeData.type) : []
+)
+const inputGroupPrefixes = computed(() =>
+  nodeData?.apiNode ? getInputGroupPrefixes(nodeData.type) : []
+)
+const relevantInputNames = computed(() =>
+  nodeData?.apiNode ? getInputNames(nodeData.type) : []
+)
+const nodeBadges = computed<NodeBadgeProps[]>(() => {
+  // For ALL API nodes: access per-node revision ref to detect when async pricing evaluation completes
+  // This is needed even for static pricing because JSONata 2.x evaluation is async
+  if (nodeData?.apiNode && nodeData?.id != null) {
+    // Access per-node revision ref to establish dependency (each node has its own ref)
+    void getNodeRevisionRef(nodeData.id).value
+
+    // For dynamic pricing, also track widget values and input connections
+    if (isDynamicPricing.value) {
+      // Access only the widget values that affect pricing
+      const relevantNames = relevantPricingWidgets.value
+      if (relevantNames.length > 0) {
+        nodeData?.widgets?.forEach((w) => {
+          if (relevantNames.includes(w.name)) w.value
+        })
+      }
+      // Access input connections for regular inputs
+      const inputNames = relevantInputNames.value
+      if (inputNames.length > 0) {
+        nodeData?.inputs?.forEach((inp) => {
+          if (inp.name && inputNames.includes(inp.name)) {
+            void inp.link // Access link to create reactive dependency
+          }
+        })
+      }
+      // Access input connections for input_groups (e.g., autogrow inputs)
+      const groupPrefixes = inputGroupPrefixes.value
+      if (groupPrefixes.length > 0) {
+        nodeData?.inputs?.forEach((inp) => {
+          if (
+            groupPrefixes.some((prefix) => inp.name?.startsWith(prefix + '.'))
+          ) {
+            void inp.link // Access link to create reactive dependency
+          }
+        })
+      }
+    }
+  }
+  return [...(nodeData?.badges ?? [])].map(toValue)
+})
 const isPinned = computed(() => Boolean(nodeData?.flags?.pinned))
 const isApiNode = computed(() => Boolean(nodeData?.apiNode))