How to make translation in Nuxt, using i18n, to asyncData?

Question

Internationalization and localization

Good afternoon,
there is a need to create breadcrumbs that will support internationalization.

Breadcrumbs are a separate component, the data to which is passed through Vuex. The "asyncData" method is called on the pages - so that the crumbs are generated on the server. But the translation does not work.

Please tell me what is the catch?

Page call:

i18n: {
    messages: {
      ru: require('./page-ru.json'),
      uk: require('./page-uk.json'),
    },
  },
  asyncData({ app, store }) {
    store.commit('breadcrumbs/setData', [
      {
        name: app.i18n.t('текст для перевода страницы'),
        path: 'url',
      },
    ]);
  },

i18n is initialized like this:

export default ({ app }) => {
  app.i18n = new VueI18n({
    locale: app.$cookies.get('language') || 'ru',
    fallbackLocale: 'uk',
    silentTranslationWarn: true,
  });
};