To have Google Search Console (GSC) recognize your page as a Video Page (or a "Watch Page"), the video must be the primary content and the main focus of the page.
Currently, if GSC is not recognizing it, it is likely because Google sees the video as "supplementary content" or cannot find the required metadata to classify the page as a dedicated video host.
Here is what is missing and what you need to do to fix it:
Google recently updated its requirements: a video won't be indexed unless it is the "undisputed protagonist" of the page.
Move it Above the Fold: The video player should be the first thing a user sees. If there is a large hero image or long text before the video, Google may demote the video to "supplementary."
Visual Prominence: Ensure the video player is large enough (at least 140px in height/width and ideally at least 1/3 of the page width).
Reduce Distracting Text: If the page has 1,000 words of text and one video, Google sees it as a blog post. Shorten the text to act as a "video description" rather than a standalone article.
Google needs explicit structured data to understand the video's properties. You should add JSON-LD Schema to the <head> of this specific page. Required fields for GSC recognition:
name: The title of the video.
description: A short summary.
thumbnailUrl: A direct link to a high-quality image (JPG/PNG/WebP).
uploadDate: The date it was published (ISO 8601 format).
contentUrl or embedUrl: The direct path to the video file or the player URL (e.g., the YouTube embed link).