How to get variables from included Twig template?

Question

Twig

The templates of different pages use the same array of output fields, I decided to move the definition of this array to a separate file:
base_fields.twig

{% set base_fields = ["id", "name", "description", "priority"] %}

index.html.twig

{% extends '@App/Default/layout.html.twig' %}
{% block base_fields %}
    {% include '@App/task_abstract/base_fields.twig' with vars %}
{% endblock %}

(inclusion outside of blocks for templates that extend others is forbidden)
But as a result I get "Variable "base_fields" does not exist."
Why doesn't it work, and how do I implement what I want?

Answer 1

It's just that different templates have a different context, the variables are not global.
I see two options:
1. Make a common parent template for templates using base_fields and declare base_fields in the parent.
2. Write an extension for twig with functions like setMyVar and getMyVar (although this is ugly).