Apply suggestion from @mishig25

Author: mishig25

.github/workflows/populate_search_engine.yml

@@ -35,5 +35,5 @@ jobs:
           HF_IE_TOKEN: ${{ secrets.HF_IE_TOKEN }}
           MEILISEARCH_KEY: ${{ secrets.MEILISEARCH_KEY }}
           MEILISEARCH_URL: ${{ secrets.MEILISEARCH_URL }}
-          HF_TOKEN: ${{ secrets.HF_TOKEN }}
+          HF_TOKEN: ${{ secrets.HF_EMBED_DATASETS_TOKEN }}
         run: uv run doc-builder populate-search-engine --incremental