WhatsApp template block with URL and Phone buttons is now available in Flows. Please vote on a separate request if you need the possibility to send WhatsApp templates from Live Chat - https://feedback.chatfuel.com/features-requests/p/send-whatsapp-template-from-live-chat.

Please note that Meta charges an additional fee for every sent WhatsApp template. Please refer to https://developers.facebook.com/docs/whatsapp/pricing.