VueJs - Set property in child component's $options based on prop

Question

Reproducible example

https://codesandbox.io/s/youthful-banach-tc83p?file=/src/components/ChildComponent.vue

Background

In the project I'm working on, there are helper functions which depend on a translationFile property in the $options of the component. However, when the component is a generic one being implemented in different places, that property will be different depending on the implementation.

What I want to do

Is there a way that I can set a property in the child component's $options dynamically based on the parent component?

Helper function example

  getLabel(labelKey) {
    const { translationFile } = this.$options;
    if (translationFile && labelKey) {
      return this.$tc(`${translationFile}.labels.${labelKey}`);
    } 
  },

this would be called from the child component (CC), hence this.$options would refer to the CC. When the parent component (PC) is PC1.vue, the file it would look in would be tran1.js, when PC2.vue, then tran2.js