feat(web): done dot on sessions that finished while unviewed

A session that stops running while it is not the selected session arms a
green 'done' reminder dot on its sidebar row, so the operator notices a
finished background session and returns to it; opening the session clears
the dot, and a re-run re-arms it on completion.

SessionManager owns the reminder set (a sibling of the waiting-approval
bit): a running->idle edge of a non-selected session arms it, select()
consumes it, removal prunes it, and it survives connection generations.
The bit rides SessionListEntry/SessionSummary into the workspace browser
rows, which render the existing StateDot done state (running keeps the
spinner) and label the hover card '已完成/Completed'.

packages/client/ui-workspace/src/client/locales.ts

@@ -49,6 +49,7 @@ export const zh = {
   'status.waitingApproval': '等待审批',
   'status.planReview': '计划待审',
   'status.waitingAnswer': '等待回答',
+  'status.completed': '已完成',
   'hover.created': '创建于 {time}',
   'hover.copied': '已复制',
   'date.ymd': '{y}年{m}月{d}日',
@@ -109,6 +110,7 @@ export const en = {
   'status.waitingApproval': 'Waiting for approval',
   'status.planReview': 'Plan awaiting review',
   'status.waitingAnswer': 'Waiting for answer',
+  'status.completed': 'Completed',
   'hover.created': 'Created {time}',
   'hover.copied': 'Copied',
   'date.ymd': '{y}-{m}-{d}',

packages/client/ui-workspace/src/client/rows/Rows.tsx

@@ -173,7 +173,7 @@ function assertNever(value: never): never {
 
 /** Session status presentation; pending user interaction outranks the running state. */
 function sessionStatus(
-  node: Pick<SessionNode, 'pendingInteraction' | 'running'>,
+  node: Pick<SessionNode, 'pendingInteraction' | 'running' | 'completed'>,
   t: RowTranslate,
 ): { state: StateDotState; label: string } {
   switch (node.pendingInteraction) {
@@ -185,10 +185,11 @@ function sessionStatus(
     default: return assertNever(node.pendingInteraction)
   }
   if (node.running) return { state: 'ongoing', label: t('status.running') }
+  if (node.completed) return { state: 'done', label: t('status.completed') }
   return { state: 'done', label: t('status.idle') }
 }
 
-/** Hover-card body: full title, relative time, and interaction/running/idle status. */
+/** Hover-card body: full title, relative time, and interaction/running/completed/idle status. */
 function SessionHoverContent({ node, now, t }: { node: SessionNode; now: number; t: RowTranslate }) {
   const status = sessionStatus(node, t)
   return (
@@ -251,7 +252,7 @@ export function SearchResultItem({ result, currentId, onOpen, t }: {
     >
       <span className={css.searchResultHeading}>
         <span className={css.slot}>
-          {status.state !== 'done' && (
+          {(status.state !== 'done' || result.completed) && (
             <>
               <StateDot state={status.state} />
               <span className={css.visuallyHidden}>{status.label}</span>
@@ -351,8 +352,11 @@ export function SessionNodeItem({ node, currentId, now, onOpen, onRename, onFork
           drag.drop(rowHalf(e))
         }}
     >
+      {/* Pending interactions and running outrank the idle state; a
+          finished-but-unviewed session shows the green done reminder dot
+          (cleared by opening the session). */}
       <span className={css.slot}>
-        {status.state !== 'done' && (
+        {(status.state !== 'done' || row.completed) && (
           <>
             <StateDot state={status.state} />
             <span className={css.visuallyHidden}>{status.label}</span>

packages/client/ui-workspace/src/client/tree.ts

@@ -24,6 +24,8 @@ export interface SessionNode {
   /** The runtime Session list reports an interaction awaiting this user. */
   pendingInteraction?: PendingInteractionStatus
   running: boolean
+  /** Finished running while not selected and not yet opened (the green "done" reminder dot). */
+  completed: boolean
   updatedAt: number
 }
 
@@ -54,6 +56,8 @@ export interface SearchResultNode {
   /** The runtime Session list reports an interaction awaiting this user. */
   pendingInteraction?: PendingInteractionStatus
   running: boolean
+  /** Finished running while not selected and not yet opened (the green "done" reminder dot). */
+  completed: boolean
   snippet?: string
 }
 
@@ -175,6 +179,7 @@ function sessionNode(s: SessionSummary): SessionNode {
     title: sessionTitle(s),
     blank: s.blank,
     running: s.running,
+    completed: s.completed === true,
     updatedAt: s.updatedAt,
     ...(s.pendingInteraction === undefined ? {} : { pendingInteraction: s.pendingInteraction }),
   }
@@ -330,6 +335,7 @@ export function deriveSearchResults(
         ...(summary.pendingInteraction === undefined
           ? {}
           : { pendingInteraction: summary.pendingInteraction }),
+        completed: summary.completed === true,
         ...match === undefined ? {} : { snippet: match.snippet },
       }
     }),