refactor(tools): migrate producers to shared metadata bridge

Ultraworked with [Sisyphus](https://github.com/code-yeongyu/oh-my-openagent)

Co-authored-by: Sisyphus <clio-agent@sisyphuslabs.ai>

src/tools/delegate-task/sync-task.ts

@@ -2,8 +2,7 @@ import type { ModelFallbackInfo } from "../../features/task-toast-manager/types"
 import type { DelegateTaskArgs, ToolContextWithMetadata, DelegatedModelConfig } from "./types"
 import type { ExecutorContext, ParentContext } from "./executor-types"
 import { getTaskToastManager } from "../../features/task-toast-manager"
-import { storeToolMetadata } from "../../features/tool-metadata-store"
-import { resolveCallID } from "./resolve-call-id"
+import { publishToolMetadata } from "../../features/tool-metadata-store"
 import { subagentSessions, syncSubagentSessions, setSessionAgent } from "../../features/claude-code-session-state"
 import { log } from "../../shared/logger"
 import { SessionCategoryRegistry } from "../../shared/session-category-registry"
@@ -130,11 +129,7 @@ export async function executeSyncTask(
         model: categoryModel ? { providerID: categoryModel.providerID, modelID: categoryModel.modelID } : undefined,
       },
     }
-    await ctx.metadata?.(syncTaskMeta)
-    const callID = resolveCallID(ctx)
-    if (callID) {
-      storeToolMetadata(ctx.sessionID, callID, syncTaskMeta)
-    }
+    await publishToolMetadata(ctx, syncTaskMeta)
 
     let effectiveCategoryModel = categoryModel
     let promptError = await deps.sendSyncPrompt(client, {