polish(app): align desktop updates copy and labeling

packages/app/src/desktop/components/desktop-permissions-section.tsx

@@ -24,7 +24,7 @@ export function DesktopPermissionsSection() {
   return (
     <View style={styles.section}>
       <View style={styles.permissionSectionHeader}>
-        <Text style={styles.sectionTitle}>Desktop permissions</Text>
+        <Text style={styles.sectionTitle}>Desktop Permissions</Text>
         <Pressable
           style={({ pressed }) => [
             styles.permissionRefreshButton,

packages/app/src/desktop/components/desktop-updates-section.tsx

@@ -12,6 +12,7 @@ import {
   buildDaemonUpdateDiagnostics,
   findLikelyLocalDaemonHost,
   formatVersionWithPrefix,
+  isLikelyLocalHost,
   isVersionMismatch,
   runLocalDaemonUpdate,
   shouldShowDesktopUpdateSection,
@@ -32,6 +33,7 @@ export function DesktopUpdatesSection({ appVersion }: DesktopUpdatesSectionProps
 
   const appVersionText = formatVersionWithPrefix(appVersion);
   const localDaemonHost = useMemo(() => findLikelyLocalDaemonHost(daemons), [daemons]);
+  const hasLikelyLocalDaemon = isLikelyLocalHost(localDaemonHost);
   const localDaemonServerId = localDaemonHost?.serverId ?? null;
   const localDaemonVersion = useSessionStore(
     useCallback(
@@ -44,6 +46,14 @@ export function DesktopUpdatesSection({ appVersion }: DesktopUpdatesSectionProps
   );
   const localDaemonVersionText = formatVersionWithPrefix(localDaemonVersion);
   const daemonVersionMismatch = isVersionMismatch(appVersion, localDaemonVersion);
+  const daemonVersionTitle = hasLikelyLocalDaemon
+    ? "Local daemon version"
+    : "Connected daemon version";
+  const daemonHostHint = localDaemonHost
+    ? hasLikelyLocalDaemon
+      ? `Connected host: ${localDaemonHost.label}`
+      : `No local daemon detected. Showing connected host: ${localDaemonHost.label}.`
+    : "No local daemon detected yet.";
 
   const {
     isDesktop: isDesktopUpdaterAvailable,
@@ -195,12 +205,8 @@ export function DesktopUpdatesSection({ appVersion }: DesktopUpdatesSectionProps
         </View>
         <View style={[styles.audioRow, styles.audioRowBorder]}>
           <View style={styles.audioRowContent}>
-            <Text style={styles.audioRowTitle}>Local daemon version</Text>
-            <Text style={styles.updateHintText}>
-              {localDaemonHost
-                ? `Connected host: ${localDaemonHost.label}`
-                : "No local daemon detected yet."}
-            </Text>
+            <Text style={styles.audioRowTitle}>{daemonVersionTitle}</Text>
+            <Text style={styles.updateHintText}>{daemonHostHint}</Text>
           </View>
           <Text style={styles.aboutValue}>{localDaemonVersionText}</Text>
         </View>

packages/app/src/desktop/updates/desktop-updates.ts

@@ -140,16 +140,22 @@ export function findLikelyLocalDaemonHost(daemons: HostProfile[]): HostProfile |
     return null
   }
 
-  const localhostDaemon = daemons.find((daemon) =>
-    daemon.connections.some(
-      (connection) =>
-        connection.type === 'direct' && isLikelyLocalDirectEndpoint(connection.endpoint)
-    )
-  )
+  const localhostDaemon = daemons.find((daemon) => isLikelyLocalHost(daemon))
 
   return localhostDaemon ?? daemons[0] ?? null
 }
 
+export function isLikelyLocalHost(host: HostProfile | null | undefined): boolean {
+  if (!host) {
+    return false
+  }
+
+  return host.connections.some(
+    (connection) =>
+      connection.type === 'direct' && isLikelyLocalDirectEndpoint(connection.endpoint)
+  )
+}
+
 export function buildDaemonUpdateDiagnostics(result: LocalDaemonUpdateResult): string {
   const stdout = result.stdout.length > 0 ? result.stdout : '(empty)'
   const stderr = result.stderr.length > 0 ? result.stderr : '(empty)'

packages/app/src/desktop/updates/use-desktop-app-updater.ts

@@ -1,6 +1,7 @@
 import { useCallback, useRef, useState } from 'react'
 import {
   checkDesktopAppUpdate,
+  formatVersionWithPrefix,
   installDesktopAppUpdate,
   shouldShowDesktopUpdateSection,
   type DesktopAppUpdateCheckResult,
@@ -57,7 +58,7 @@ function formatStatusText(input: {
 
   if (status === 'available') {
     if (availableUpdate?.latestVersion) {
-      return `Update available: ${availableUpdate.latestVersion}`
+      return `Update available: ${formatVersionWithPrefix(availableUpdate.latestVersion)}`
     }
     return 'An app update is available.'
   }