How to get the type of Paragraphs entity in the parent node field?
I think you can wrap each paragraphs field in any html wrapper of your choice, but you have to edit each field by modifying the appropriate field.html.twig  template file. 

In the field template suggested name, for example:

FILE NAME SUGGESTIONS:
   * field--paragraph--field-text-half--text-svg.html.twig
   x field--paragraph--field-text-half.html.twig
   * field--paragraph--text-svg.html.twig
   * field--field-text-half.html.twig
   * field--text-long.html.twig
   * field.html.twig


You will then use the template suggested name to edit the html wrapper of your choice. 

Like this :

{% if label_hidden %}
  {% if multiple %}
    &lt;div{{ attributes }}&gt;
      {% for item in items %}
        &lt;div{{ item.attributes }}&gt;{{ item.content }}&lt;/div&gt;
      {% endfor %}
    &lt;/div&gt;
  {% else %}
    {% for item in items %}
      &lt;div{{ attributes }}&gt;{{ item.content }}&lt;/div&gt; --&gt; change div to preferred  html
    {% endfor %}
  {% endif %}
{% else %}
  &lt;div{{ attributes }}&gt;
    &lt;div{{ title_attributes }}&gt;{{ label }}&lt;/div&gt;
    {% if multiple %}
      &lt;div&gt;
    {% endif %}
    {% for item in items %}
      &lt;div{{ item.attributes }}&gt;{{ item.content }}&lt;/div&gt;
    {% endfor %}
    {% if multiple %}
      &lt;/div&gt;
    {% endif %}
  &lt;/div&gt;
{% endif %}


Hope this helps :)