diff --git a/src/harnesses/codex/rollout-activity-summary.test.ts b/src/harnesses/codex/rollout-activity-summary.test.ts
index 55538e2..1dd7836 100644
--- a/src/harnesses/codex/rollout-activity-summary.test.ts
+++ b/src/harnesses/codex/rollout-activity-summary.test.ts
@@ -347,6 +347,39 @@ test("summarizes structured local shell and web-search calls", () => {
   assert.equal(web.external, true);
 });
 
+test("summarizes current Codex code-mode web tools and their batched arguments", () => {
+  for (const toolName of ["web__run", "web_run", "web.run"]) {
+    const summary = summarizeCodexRolloutActivity(
+      rollout({
+        codeModeTools: [toolName],
+        callPayload: {
+          input: `const r = await tools.${toolName}({search_query:[{q:"Codex rollout activity"},{q:"Codex code mode"}],response_length:"long"}); text(r);`,
+        },
+      }),
+    );
+
+    assert.equal(summary.kind, "web");
+    assert.equal(summary.subject, "Codex rollout activity +1");
+    assert.equal(summary.external, true);
+  }
+});
+
+test("summarizes non-search web run operations", () => {
+  const summary = summarizeCodexRolloutActivity(
+    rollout({
+      codeModeTools: ["web__run"],
+      callPayload: {
+        input:
+          'tools.web__run({open:[{ref_id:"https://sandpi.ai/llms.txt"}]});',
+      },
+    }),
+  );
+
+  assert.equal(summary.kind, "web");
+  assert.equal(summary.subject, "https://sandpi.ai/llms.txt");
+  assert.equal(summary.external, true);
+});
+
 declare global {
   // Test sentinel proving arbitrary code-mode input is never evaluated.
   var __sandpiActivityParserExecuted: boolean | undefined;
diff --git a/src/harnesses/codex/rollout-activity-summary.ts b/src/harnesses/codex/rollout-activity-summary.ts
index 2174f52..070a77d 100644
--- a/src/harnesses/codex/rollout-activity-summary.ts
+++ b/src/harnesses/codex/rollout-activity-summary.ts
@@ -519,16 +519,24 @@ function safeSubject(args: Record<string, unknown> | null) {
   return null;
 }
 
+function isWebToolName(name: string) {
+  return (
+    name === "web_run" ||
+    name === "web__run" ||
+    name.startsWith("web.") ||
+    name.includes("web_search")
+  );
+}
+
 function externalTool(names: string[], activity: CodexRolloutToolActivity) {
   return (
     names.some(
       (name) =>
         name.startsWith("mcp__") ||
-        name.startsWith("web.") ||
+        isWebToolName(name) ||
         name.startsWith("browser.") ||
         name.startsWith("image_gen.") ||
         name.startsWith("image_gen__") ||
-        name.includes("web_search") ||
         name.includes("imagegen") ||
         name.includes("image_generation"),
     ) ||
@@ -551,7 +559,7 @@ function toolKind(
     return "agent";
   }
   if (
-    names.some((item) => item.startsWith("web.") || item.includes("web_search")) ||
+    names.some(isWebToolName) ||
     activity.callType === "web_search_call"
   ) {
     return "web";
@@ -670,6 +678,35 @@ function webActionSubject(activity: CodexRolloutToolActivity) {
   return null;
 }
 
+function webRunSubject(args: Record<string, unknown> | null) {
+  const candidates: Array<[string, string]> = [
+    ["search_query", "q"],
+    ["image_query", "q"],
+    ["open", "ref_id"],
+    ["find", "pattern"],
+    ["weather", "location"],
+    ["finance", "ticker"],
+    ["time", "utc_offset"],
+    ["sports", "league"],
+  ];
+  for (const [collection, property] of candidates) {
+    const items = args?.[collection];
+    if (!Array.isArray(items)) continue;
+    const values = items
+      .map((item) => objectRecord(item)?.[property])
+      .filter(
+        (value): value is string =>
+          typeof value === "string" && value.trim().length > 0,
+      );
+    if (values.length > 0) {
+      return values.length === 1
+        ? values[0]!
+        : `${values[0]} +${values.length - 1}`;
+    }
+  }
+  return null;
+}
+
 export function summarizeCodexRolloutActivity(
   activity: CodexRolloutToolActivity,
 ): CodexRolloutActivitySummary {
@@ -725,6 +762,7 @@ export function summarizeCodexRolloutActivity(
     (cellId ? `#${cellId}` : null) ??
     (sessionId ? `#${sessionId}` : null) ??
     webActionSubject(activity) ??
+    (kind === "web" ? webRunSubject(args) : null) ??
     safeSubject(args) ??
     (names.length > 1 ? names.join(" · ") : toolName);
   const detail =
diff --git a/src/harnesses/codex/session-activity.test.ts b/src/harnesses/codex/session-activity.test.ts
index f00872e..eb1ca78 100644
--- a/src/harnesses/codex/session-activity.test.ts
+++ b/src/harnesses/codex/session-activity.test.ts
@@ -488,6 +488,7 @@ test("restores the real 30-call rollout shape alongside its modeled file change"
 test("categorizes namespaced Codex code-mode tools without cross-harness normalization", () => {
   const activity = rolloutFeed([
     rolloutTool(1, { codeModeTools: ["web.run"] }),
+    rolloutTool(6, { codeModeTools: ["web__run"] }),
     rolloutTool(2, { codeModeTools: ["image_gen.imagegen"] }),
     rolloutTool(3, { codeModeTools: ["collaboration.spawn_agent"] }),
     rolloutTool(4, { codeModeTools: ["functions.exec_command"] }),
@@ -508,10 +509,10 @@ test("categorizes namespaced Codex code-mode tools without cross-harness normali
   for (const record of activity.records) record.turnId = turnId;
 
   assert.deepEqual(summarizeCodexSessionActivity(emptyProjection, activity), {
-    total: 5,
-    records: 5,
+    total: 6,
+    records: 6,
     issues: 0,
-    external: 3,
+    external: 4,
     commands: 2,
     files: 0,
     agents: 1,
diff --git a/src/harnesses/codex/session-activity.ts b/src/harnesses/codex/session-activity.ts
index 7d8ef11..0964afc 100644
--- a/src/harnesses/codex/session-activity.ts
+++ b/src/harnesses/codex/session-activity.ts
@@ -117,6 +117,7 @@ function codexRolloutActivityIsVisible(entry: CodexRolloutToolActivity) {
 function rolloutToolCategories(
   entry: CodexRolloutToolActivity,
 ): CodexSessionActivityCategory[] {
+  const summary = summarizeCodexRolloutActivity(entry);
   const names =
     entry.codeModeTools.length > 0 ? entry.codeModeTools : [entry.name];
   const nameVariants = names.flatMap((name) => [
@@ -124,23 +125,9 @@ function rolloutToolCategories(
     name.split(".").at(-1) ?? name,
   ]);
   const categories: CodexSessionActivityCategory[] = [];
-  const external =
-    names.some(
-      (name) =>
-        name.startsWith("mcp__") ||
-        name.startsWith("web.") ||
-        name.startsWith("image_gen.") ||
-        name.startsWith("image_gen__") ||
-        name.startsWith("browser.") ||
-        name.includes("web_search") ||
-        name.includes("imagegen") ||
-        name.includes("image_generation") ||
-        name.includes("browser"),
-    ) ||
-    entry.callType === "tool_search_call" ||
-    entry.callType === "web_search_call" ||
-    entry.callType === "image_generation_call";
-  if (external) categories.push("external");
+  if (summary.external || entry.callType === "tool_search_call") {
+    categories.push("external");
+  }
   if (nameVariants.some((name) => CODEX_ROLLOUT_AGENT_TOOLS.has(name))) {
     categories.push("agents");
   }