To activate WooCommerce API, please follow the steps below:
Login to your WordPress instance as an admin
Navigate to plugins (left menu) > Add New
Search for WooCommerce plugin
Click on Install Now and once installed, click on Activate

To get your API key, please follow the steps below:
In the plugin, navigate to WooCommerce > Settings > Advanced > REST API
Generate your api key, use consumer_key as username and consumer_secret as password

Please find below a reference to REST API documentation
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