feat(bots): bot framework polish + store

- /ws/bot endpoint: bot token auth via query param, SHA-256 lookup
- Bot WS actions: SEND_MESSAGE + DELETE_MESSAGE handled in gateway
- Bot messages: bot_id on messages table, bot badge in chat (green + BOT tag)
- Bot store: /bots lists all bots with server count + add-to-server
- Bot manager moved to /bots/manage
- Fix: command routes were double-nested under /bots/{botID}/commands
- Fix: fetchServerCommands route corrected to /bots/servers/...

web/src/App.tsx

@@ -5,6 +5,7 @@ import { Layout } from './components/Layout.tsx';
 import { ChatArea } from './components/ChatArea.tsx';
 import { UserSettings } from './components/UserSettings.tsx';
 import { BotManager } from './components/BotManager.tsx';
+import { BotStore } from './components/BotStore.tsx';
 import { CommandManager } from './components/CommandManager.tsx';
 import { RoleManager } from './components/RoleManager.tsx';
 import { JoinServer } from './components/JoinServer.tsx';
@@ -69,11 +70,23 @@ function App() {
         />
         <Route
           path="/bots"
+          element={
+            <ProtectedRoute>
+              <div className="h-full w-full flex flex-col bg-gb-bg">
+                <div className="flex-1 overflow-hidden">
+                  <BotStore />
+                </div>
+              </div>
+            </ProtectedRoute>
+          }
+        />
+        <Route
+          path="/bots/manage"
           element={
             <ProtectedRoute>
               <div className="h-full w-full flex flex-col bg-gb-bg">
                 <header className="flex items-center gap-4 px-4 py-2 border-b border-gb-bg-t bg-gb-bg-s">
-                  <Link to="/" className="text-gb-fg-f hover:text-gb-aqua font-mono text-sm">
+                  <Link to="/bots" className="text-gb-fg-f hover:text-gb-aqua font-mono text-sm">
                     ← [BACK]
                   </Link>
                   <span className="text-gb-orange font-mono text-sm">BOT MANAGER</span>
@@ -91,7 +104,7 @@ function App() {
             <ProtectedRoute>
               <div className="h-full w-full flex flex-col bg-gb-bg">
                 <header className="flex items-center gap-4 px-4 py-2 border-b border-gb-bg-t bg-gb-bg-s">
-                  <Link to="/bots" className="text-gb-fg-f hover:text-gb-aqua font-mono text-sm">
+                  <Link to="/bots/manage" className="text-gb-fg-f hover:text-gb-aqua font-mono text-sm">
                     ← [BACK]
                   </Link>
                   <span className="text-gb-orange font-mono text-sm">SLASH COMMANDS</span>