Replace the HTML for the standard WordPress video shortcode, simplifying it to just a video element without extra wrapping divs, buttons, etc. See blog post https://snippets.webaware.com.au/howto/wordpress-video-in-the-block-editor/

video.twig

<video class="project-video" controls controlslist="nodownload" playsinline disablePictureInPicture
		{%- if video.autoplay %} autoplay muted {%- endif -%}
		{%- if video.preload %} preload="{{ video.preload }}" {%- endif -%}
		{%- if video.loop %} loop {%- endif -%}
		{%- if video.width %} width="{{ video.width }}" {%- endif -%}
		{%- if video.height %} height="{{ video.height }}" {%- endif -%}
		{%- if video.poster %} poster="{{ video.poster }}" {%- endif -%}
	>

	{%- for source in video.sources -%}
		<source src="{{ source.link }}" type="{{ source.mime_type }}">
	{%- endfor -%}
</video>

videos.php

<?php
namespace project\theme\videos;

use Timber\Timber;

if (!defined('ABSPATH')) {
	exit;
}

/**
 * replace standard video shortcode output with ours
 */
add_filter('wp_video_shortcode_override', function(string $html, array $attrs) : string {
	$video = new VideoItem($attrs);
	return Timber::fetch(['shortcodes/video.twig'], ['video' => $video]);
}, 10, 2);

/**
 * video item build from a WordPress video shortcode
 */
class VideoItem {

	public int		$id;
	public string	$poster;
	public string	$preload;
	public int		$width;
	public int		$height;
	public bool		$loop;
	public bool		$autoplay;
	public array	$sources = [];

	public function __construct(array $attrs) {
		$this->id			= $attrs['id'] ?? 0;
		$this->poster		= $attrs['poster'] ?? 0;
		$this->preload		= $attrs['preload'] ?? 'metadata';
		$this->width		= $attrs['width'] ?? 0;
		$this->height		= $attrs['height'] ?? 0;
		$this->loop			= $attrs['loop'] ?? false;
		$this->autoplay		= $attrs['autoplay'] ?? false;

		if (!empty($attrs['webm'])) {
			$this->sources[] = [
				'mime_type'		=> 'video/webm; codecs="vp9, opus"',
				'link'			=> $attrs['webm'],
			];
		}

		if (!empty($attrs['mp4'])) {
			$this->sources[] = [
				'mime_type'		=> 'video/mp4',
				'link'			=> $attrs['mp4'],
			];
		}

		if (!empty($attrs['ogv'])) {
			$this->sources[] = [
				'mime_type'		=> 'video/ogg',
				'link'			=> $attrs['ogv'],
			];
		}

		if (!empty($attrs['m4v'])) {
			$this->sources[] = [
				'mime_type'		=> 'video/x-m4v',
				'link'			=> $attrs['m4v'],
			];
		}
	}

}