Your addon has settings for Turnstile. But this doesn't work for woocommerce or custom locations. We use a popular ecommerce theme which has a login dropdown. To inject Turnstile we need to use this plugin:
wordpress.org
Please add the following locations:
WooCommerce

Simple Cloudflare Turnstile – CAPTCHA Alternative
Add Cloudflare Turnstile to WordPress, WooCommerce, Contact Forms & more. The user-friendly, privacy-preserving reCAPTCHA alternative. 100% free!
WooCommerce
- Checkout
- Pay For Order
- Login Form
- Registration Form
- Password Reset Form
- Elementor Pro Forms
- Contact Form 7
- Gravity Forms