How to convert this cURL to wp_remote_*?

/* ########################################################################## *
 *
 *   DETERMINE ENTITY, via native wp_remote_post() call
 *
/* ########################################################################## */

function get_entity_type_via_wp(
    $text_to_analyse,           // passed string to be handed to GClouD NLP
    $entity = 'type'            // part of each "entities" result to return
) {

    // Google Cloud API key
    $options = get_option( 'cxt_settings' );
    $google_nlp_api = $options['cxt_gcloud'];



    // Call the API endpoint, with API key
    $url="https://language.googleapis.com/v1/documents:analyzeEntities?key=".$google_nlp_api;

    // Request payload
    $payload = '{
      "document":{
        "type":"PLAIN_TEXT",
        "content":"'.$text_to_analyse.'"
      },
      "encodingType":"UTF8"
    }';


    // Call Goolge NLP API via wp_remote_post();
    // cf. https://wordpress.stackexchange.com/questions/349271/how-to-convert-this-curl-to-wp-remote?noredirect=1#comment510738_349271
    //
    $result_full = wp_remote_post(
        $url,
        array(
            'method'      => 'POST',
            'timeout'     => 45,
            'redirection' => 5,
            'httpversion' => '1.0',
            'blocking'    => true,
            'headers'     => array(
                'Content-Type' => 'application/json; charset=utf-8'
            ),
            'body'      =>  $payload,                       // Payload, text to analyse
            'data_format' => 'body'
        )
    );


    // Just the "body" bit
    $result_entities = $result_full['body'];

    // Store result in array
    $arr = json_decode($result_entities, true);

    // Pluck out the first value from the response object
    $ent_val = $arr['entities'][0][$entity];

    return $ent_val;


    // return $ent_val;
    // List of possible entities: https://cloud.google.com/natural-language/docs/reference/rest/v1/Entity#Type
    // UNKNOWN
    // PERSON
    // LOCATION
    // ORGANIZATION
    // EVENT
    // WORK_OF_ART
    // CONSUMER_GOOD
    // OTHER

}