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Hi @elenafernandez,
Greetings from WebToffee support.
The premium version of the Smart Coupons for WooCommerce plugin can certainly help you achieve your requirements using the Signup coupon functionality of the plugin.
It allows you to configure a coupon of your choice as the sign-up coupon, and the coupon code will be sent to the new users who creates an account on your WooCommerce site. Moreover, you can choose to send the same coupon code or its clone with unique code for each users.
For information, you may check out this article: Setup signup coupon
If you have any further queries, please reach out to us through our support desk.