docs(js): Remove outdated/misleading warning (#13484)

Author: connorads

docs/platforms/javascript/common/configuration/integrations/console.mdx

@@ -28,12 +28,6 @@ supported:
   - javascript.tanstackstart-react
 ---
 
-<Alert>
-
-This integration only works inside server environments (Node.js, Bun, Deno).
-
-</Alert>
-
 _Import name: `Sentry.consoleIntegration`_
 
 This integration is enabled by default. If you'd like to modify your default integrations, read [this](./../#modifying-default-integrations).