feat(web): show machine label on pinned running session rows

web/src/components/SessionList.tsx

@@ -766,9 +766,10 @@ function SessionItem(props: {
     showDetailedStatus?: boolean
     inRunningSection?: boolean
     projectLabel?: string
+    machineLabel?: string
 }) {
     const { t } = useTranslation()
-    const { session: s, onSelect, showPath = true, api, selected = false, showDetailedStatus = false, inRunningSection = false, projectLabel } = props
+    const { session: s, onSelect, showPath = true, api, selected = false, showDetailedStatus = false, inRunningSection = false, projectLabel, machineLabel } = props
     const { haptic } = usePlatform()
     const [menuOpen, setMenuOpen] = useState(false)
     const [menuAnchorPoint, setMenuAnchorPoint] = useState<{ x: number; y: number }>({ x: 0, y: 0 })
@@ -863,6 +864,7 @@ function SessionItem(props: {
                     scheduleTooltipId={scheduleId}
                     inRunningSection={inRunningSection}
                     projectLabel={projectLabel}
+                    machineLabel={machineLabel}
                 />
             </button>
 
@@ -1453,6 +1455,7 @@ export function SessionList(props: {
                                         showDetailedStatus={showDetailedStatus}
                                         inRunningSection
                                         projectLabel={getGroupDisplayName(s.metadata?.worktree?.basePath ?? s.metadata?.path ?? 'Other')}
+                                        machineLabel={resolveMachineLabel(s.metadata?.machineId ?? null)}
                                     />
                                 ))}
                             </div>

web/src/components/SessionRowSummary.tsx

@@ -115,6 +115,8 @@ export function SessionRowSummary(props: {
     inRunningSection?: boolean
     /** Short project name shown under the title (pinned "in progress" rows). */
     projectLabel?: string
+    /** Machine label shown next to the project name (pinned "in progress" rows). */
+    machineLabel?: string
 }) {
     const {
         session: s,
@@ -127,6 +129,7 @@ export function SessionRowSummary(props: {
         className,
         inRunningSection = false,
         projectLabel,
+        machineLabel,
     } = props
     const { t } = useTranslation()
     const sessionName = getSessionTitle(s)
@@ -245,9 +248,9 @@ export function SessionRowSummary(props: {
                     ) : null}
                 </div>
             </div>
-            {projectLabel ? (
-                <div className="truncate text-xs text-[var(--app-hint)]" title={projectLabel}>
-                    {projectLabel}
+            {projectLabel || machineLabel ? (
+                <div className="truncate text-xs text-[var(--app-hint)]" title={[projectLabel, machineLabel].filter(Boolean).join(' · ')}>
+                    {[projectLabel, machineLabel].filter(Boolean).join(' · ')}
                 </div>
             ) : showPath || worktreeLabel ? (
                 <div