This code snippet extends the "File upload" field type to add video formats. An array of supported video formats: 'mp4', 'm4v', 'webm', 'ogv', 'flv'.

um_add_video_file_types.php

<?php

/**
 * Allow to upload video files via the "File Upload" field type.
 * Add this code to the file functions.php in the active theme directory.
 */
add_filter( 'um_allowed_file_types', 'um_add_video_file_types' );
add_filter( 'um_profile_field_filter_hook__file', 'um_profile_field_filter_hook__file_video', 101, 2 );

/**
 * Extend "Allowed File Types" in the File Upload field.
 *
 * @param  array $allowed_types List of supported formats.
 * @return array
 */
function um_add_video_file_types( $allowed_types ) {
  $video_file_types = array();
  foreach( wp_get_video_extensions() as $ext ) {
    $video_file_types[ $ext ] = strtoupper( $ext ) . ' video';
  }
  return array_merge( $video_file_types, (array) $allowed_types );
}

/**
 * Embed video files and play them in profile view.
 *
 * @param  string $value Field Value.
 * @param  array  $data  Field Data.
 * @return string
 */
function um_profile_field_filter_hook__file_video( $value, $data ) {
  $filename = um_user( $data['metakey'] );
  $fileinfo = um_user( $data['metakey'] . '_metadata' );
  if ( $filename && is_array( $fileinfo ) && in_array( $fileinfo['ext'], wp_get_video_extensions(), true ) ) {
    $file_url  = trailingslashit( UM()->uploader()->get_upload_user_base_url( um_profile_id() ) ) . $filename;
    $shortcode = '[video src="' . esc_url( $file_url ) . '"]';
    $value     = apply_shortcodes( $shortcode );
  }
  return $value;
}

This gist is a part of the article um_allowed_file_types.

Documentation: https://docs.ultimatemember.com/
Support forum: https://wordpress.org/support/plugin/ultimate-member/

Related WordPress documentation:

• Video Shortcode
• List of supported video formats

Examples

Image - The File Upload field type with allowed video formats.

Image - The File Upload field type with video in profile.