Post Submission from frontend with custom field isn’t working

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Your code works fine for me as-is, assuming you actually have a video post type, however there are a couple of things you can correct-

  1. shortcodes should return their value, otherwise you will see shortcode content appear before any post content, not where you actually placed the shortcode.

  2. do_action('wp_insert_post', 'wp_insert_post'); is unnecessary, wp_insert_post already does that action within the function, so you’re invoking it twice.