Make bot types an extension of the bot's kind

Coordinator and worker come from bots.kind; bot_types now only holds
workspace_admin (was admin), each row naming its workspace, with no scope
field. Rows from v0.2.8 and earlier are fixed at boot by migrateBotTypes.

Co-Authored-By: Claude Opus 5.5 <[email protected]>

src/pages/admin/bots/[bot_id]/(partials)/bot-admin-menu-item.tsx

@@ -54,7 +54,7 @@ export default function BotAdminMenuItem({
 
         const res = await postAdminApi({
             path: "bots/set-bot-type",
-            body: { bot_id, workspace_id, bot_type: "admin", given },
+            body: { bot_id, workspace_id, bot_type: "workspace_admin", given },
         }).catch(() => null);
 
         setLoading(false);

src/pages/admin/settings/workspaces/[workspace_id]/(partials)/workspace-bots-group.tsx

@@ -81,7 +81,7 @@ export default function WorkspaceBotsGroup({ workspace_id, workspace_name, bots:
 
         const res = await postAdminApi<WorkspaceBot>({
             path: "bots/set-bot-type",
-            body: { workspace_id, bot_id: bot.id, bot_type: "admin", given },
+            body: { workspace_id, bot_id: bot.id, bot_type: "workspace_admin", given },
         });
 
         setAdminBusyId(undefined);