Yes, there is this GitHub action that can trigger crawls automatically:
GitHub - algolia/algoliasearch-crawler-github-actions: Algolia Crawler Github action
The free DocSearch plan, doesn't include technical web support from the Support team. For further assistance, you can post your question on the Algolia Community Forum or Discord. For front-end issues, you can raise the issue directly on GitHub. In addition, you can review our DocSearch Documentation and FAQ.