fix(native-chat): say what the run header's glyph actually guarantees

The comment claimed the header names the same tool in both states, so its
glyph cannot change on settle. It can: the live header names the running
call while the settled one names the run's last tool call, and with
out-of-order completion those differ. The glyph is fixed for whichever
tool the header names — say that, and drop the never-taken running branch
from the settled header's call.

Also pin the other half of the file-target rule: `read` keeps `path`, so
its row stays tappable, where `list`/`search` lift a folder to
`directory` and offer no target at all.

src/main/codex/codex-structured-item-translation.test.ts

@@ -197,24 +197,24 @@ describe('codex item bodies', () => {
   })
 
   it('names a classified read command by its class and keeps the raw command', () => {
-    expect(
-      codexItemBody({
-        type: 'commandExecution',
-        id: 'item-read',
-        command: "sed -n '1,200p' notes.txt",
-        cwd: '/repo',
-        status: 'completed',
-        exitCode: 0,
-        commandActions: [
-          {
-            type: 'read',
-            command: "sed -n '1,200p' notes.txt",
-            name: 'notes.txt',
-            path: '/repo/notes.txt'
-          }
-        ]
-      })
-    ).toEqual({
+    const body = codexItemBody({
+      type: 'commandExecution',
+      id: 'item-read',
+      command: "sed -n '1,200p' notes.txt",
+      cwd: '/repo',
+      status: 'completed',
+      exitCode: 0,
+      commandActions: [
+        {
+          type: 'read',
+          command: "sed -n '1,200p' notes.txt",
+          name: 'notes.txt',
+          path: '/repo/notes.txt'
+        }
+      ]
+    })
+
+    expect(body).toEqual({
       kind: 'tool-call',
       name: 'read',
       // `name` is the target's basename, which `path` already carries and no
@@ -222,6 +222,11 @@ describe('codex item bodies', () => {
       input: { command: "sed -n '1,200p' notes.txt", cwd: '/repo', path: '/repo/notes.txt' },
       state: 'completed'
     })
+    // `read` is the one class that keeps `path`, so its row stays a tappable
+    // file on mobile — the other half of the rule `list`/`search` obey below.
+    const display = createToolInputDisplay(body?.kind === 'tool-call' ? body.input : null)
+    expect(display.filePath).toBe('/repo/notes.txt')
+    expect(display.label).toBe('/repo/notes.txt')
   })
 
   it('carries a classified search query so the row labels by term, not scan root', () => {

src/renderer/src/components/native-chat/NativeChatToolRun.tsx

@@ -226,11 +226,12 @@ export function NativeChatToolRun({
     () => (open ? buildEditCards(blocks) : NO_EDIT_CARDS),
     [open, blocks]
   )
-  // The header is named by the run's latest tool in both states, so its glyph is
-  // chosen once and does not change when that tool settles. State rides on the
-  // trailing mark instead — a leading glyph that flipped to a check would read as
-  // the row changing identity.
-  const headerCall = latestActiveCall ?? blocks.findLast(isToolCallBlock) ?? null
+  // Only the settled header reads this; the live one names `latestActiveCall`.
+  // Those are the same call except under out-of-order completion, where the
+  // header re-names on settle to the run's last tool. The glyph is fixed for
+  // whichever tool the header names, so state rides on the trailing mark — a
+  // leading glyph that flipped to a check would read as a change of identity.
+  const settledHeaderCall = blocks.findLast(isToolCallBlock) ?? null
   const fallbackLabel =
     callCount === 1
       ? translate('components.native-chat.tool.countOne', NATIVE_CHAT_TOOL_ACTIVITY_COPY.countOne)
@@ -275,8 +276,11 @@ export function NativeChatToolRun({
           className="group flex min-h-6 w-full items-center gap-1.5 py-0.5 text-left"
           aria-expanded={open}
         >
-          {structuredActivityUi && headerCall ? (
-            <NativeChatToolIcon rowWord={headerCall.name} className="text-muted-foreground" />
+          {structuredActivityUi && settledHeaderCall ? (
+            <NativeChatToolIcon
+              rowWord={settledHeaderCall.name}
+              className="text-muted-foreground"
+            />
           ) : null}
           <span className="shrink-0 font-mono text-[11px] font-bold text-muted-foreground transition-colors group-hover:text-foreground/80">
             {callCount}×