BUG: "Exclude from search results" doesn't work in the AJAX callback function

[burhandodhy]

Describe the bug

When querying the posts in the AJAX callback function, ElasticPress retrieves the post regardless of whether the 'Exclude from search results' option is enabled for that post.

Steps to Reproduce

1. Create a post titled "Exclude me".
2. Check the "Exclude from search results" option.
3. Enable ElasticPress AJAX integration by adding this filter add_filter( 'ep_ajax_wp_query_integration', '__return_true' );
4. Write an AJAX callback function to search for that post.

Screenshots, screen recording, code snippet

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Environment information

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WordPress and ElasticPress information

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