Using ShortCode
From your admin dashboard, click on Add New Player under the HTML5 Video Player menu. Then select the Video Type. Lets select VIdeo.

After selecting the video type you have to upload video or enter video URL to get started.

After add video you will see the settings on the right sidebar just like Gutenberg. Copy the shortcode. (you can also copy the shortcode after published). Now publish/save the post.

Paste the shortcode in post, page, or text widget content. Save and view the content, you will see a video player.

Using Gutenberg
Go to your Gutenberg Editor. Insert HTML5 Video Player, Youtube Player or Vimeo Player block. Lets select HTML5 Video Player.

After selecting the block you have to upload video or enter video URL to get started.

After add video you will see the settings on the right sidebar. Change the settings if you need.

Save and view the content, you will see a video player.

Others
Also, you can display the player using Playlist and Quick player from HTML5 Video Player menu.