Indexing issues have become quite common these days and can occur for various reasons, such as errors with Googlebot, slow response times from Google in visiting your website, or issues related to Google updates or crawler blocking.
These problems can lead to delays in indexing your pages. Before resorting to third-party tools, it's important to follow standard practices: submit your site to Google Search Console (GSC), update and submit your sitemap, and ensure proper interlinking of relevant pages.
If you've tried these methods and are still experiencing issues, then you might consider using third-party tools to help speed up the indexing process.