feat(web): morphing send/stop/queue composer button

The composer's primary button now reflects generation state: Send when idle,
Stop while generating with an empty draft, and Queue while generating with a
draft typed (submitting queues it via the existing queue path). Stop is
click-only so a stray Enter never interrupts a run. ChatInput gains generating
+ onStop props.

BooChat: removes the separate centered "Stop generating" pill and wires
generating={streaming} + onStop={handleStop}. BooCoder: generating now keys on
sending || activeTaskId (the dispatch POST is too brief on its own), which also
fixes the queue gates that previously fired mid-run; onStop cancels the active
task via the new api.coder.cancelTask, and the input is no longer disabled while
a task runs so follow-ups can be queued.

Co-Authored-By: Claude Opus 4.8 (1M context) <noreply@anthropic.com>

apps/web/src/components/panes/ChatPane.tsx

@@ -1,5 +1,5 @@
 import { useCallback, useEffect, useRef, useState } from 'react';
-import { Pencil, Send, Square, X } from 'lucide-react';
+import { Pencil, Send, X } from 'lucide-react';
 import { toast } from 'sonner';
 import { api } from '@/api/client';
 import { useSessionStream } from '@/hooks/useSessionStream';
@@ -248,22 +248,6 @@ export function ChatPane({ sessionId, chatId, projectId, agentId, onAgentChange,
         </div>
       )}
 
-      {/* Stop button when streaming */}
-      {streaming && (
-        <div className="border-t py-1">
-          <div className="max-w-[1000px] mx-auto w-full flex justify-center">
-          <button
-            type="button"
-            onClick={() => void handleStop()}
-            className="flex items-center gap-1.5 text-xs px-3 py-1 rounded-full border hover:bg-muted text-muted-foreground hover:text-foreground max-md:min-h-[44px] max-md:px-5"
-          >
-            <Square size={10} className="fill-current" />
-            Stop generating
-          </button>
-          </div>
-        </div>
-      )}
-
       {stale && streamingId && (
         <StaleStreamBanner
           onRetry={() => void handleRetryStale()}
@@ -280,6 +264,8 @@ export function ChatPane({ sessionId, chatId, projectId, agentId, onAgentChange,
         webSearchEnabled={webSearchEnabled}
         onSend={handleSend}
         onForceSend={streaming ? handleForceSend : undefined}
+        generating={streaming}
+        onStop={handleStop}
         onSlashCommand={handleSlashCommand}
         chatId={chatId}
         chatLabel={sessionChats?.find((c) => c.id === chatId)?.name ?? 'Chat'}