Why not select Unpublish under the cog icon or add Manage to it if it is possible?

Why not select Unpublish under the cog icon or add Manage to it if it is possible?

Because that cog icon comes from the module chrome (not from the module itself). To my knowledge the module can't manipulate this part.

I have tested this item ✅ successfully on df52e89

about the design: removing bottom border, as shown here #33106 and maybe .float-end margin? to hv alignment with the other (Install)

please solve conflicts as #33168 was merged

I may have another solution to directly edit the plugin (color can be modified)

A button to directly edit (or unpublish) the sample data plugin isn't possible easy because we don't know the ID of the plugin.
That would require changes in each sample data plugins onSampledataGetOverview method.
It can certainly be done, but has much more impact.

We need to fetch the db. here is the modified file

<?php
/**
 * @package     Joomla.Administrator
 * @subpackage  mod_sampledata
 *
 * @copyright   (C) 2017 Open Source Matters, Inc. <https://www.joomla.org>
 * @license     GNU General Public License version 2 or later; see LICENSE.txt
 */

defined('_JEXEC') or die;

use Joomla\CMS\Factory;
use Joomla\CMS\Language\Text;
use Joomla\CMS\Router\Route;
use Joomla\CMS\Session\Session;
use Joomla\CMS\Uri\Uri;

$app->getDocument()->getWebAssetManager()
	->registerAndUseScript('mod_sampledata', 'mod_sampledata/sampledata-process.js', [], ['defer' => true], ['core']);

Text::script('MOD_SAMPLEDATA_CONFIRM_START');
Text::script('MOD_SAMPLEDATA_ITEM_ALREADY_PROCESSED');
Text::script('MOD_SAMPLEDATA_INVALID_RESPONSE');

$app->getDocument()->addScriptOptions(
	'sample-data',
	[
		'icon' => Uri::root(true) . '/media/system/images/ajax-loader.gif'
	]
);
?>
<?php if ($items) : ?>
	<ul id="sample-data-wrapper" class="list-group list-group-flush">
		<?php foreach($items as $i => $item) : ?>
			<?php
				$db    = Factory::getDbo();
				$query = $db->getQuery(true)
					->select($db->quoteName('extension_id'))
					->from($db->quoteName('#__extensions'))
					->where(
						[
							$db->quoteName('folder') . ' = ' . $db->quote('sampledata'),
							$db->quoteName('type') . ' = ' . $db->quote('plugin'),
							$db->quoteName('element') . ' = ' . $db->quote($item->name),
						]
					);

				$db->setQuery($query);

				$id = $db->loadResult();
				$loadUrl = 'index.php?option=com_plugins&view=plugin&task=plugin.edit&extension_id=' . $id . '&amp;' . Session::getFormToken() . '=1';
			?>
			<li class="list-group-item sampledata-<?php echo $item->name; ?>">
				<div class="d-flex justify-content-between align-items-center">
					<div class="me-2">
						<span class="icon-<?php echo $item->icon; ?>" aria-hidden="true"></span>
						<?php echo htmlspecialchars($item->title, ENT_QUOTES, 'UTF-8'); ?>
					</div>
					<div class="btn-group">
						<button type="button" class="btn btn-secondary btn-sm apply-sample-data" data-type="<?php echo $item->name; ?>" data-steps="<?php echo $item->steps; ?>">
							<span class="icon-upload" aria-hidden="true"></span> <?php echo Text::_('JLIB_INSTALLER_INSTALL'); ?>
							<span class="visually-hidden"><?php echo $item->title; ?></span>
						</button>
						<button type=button" class="btn btn-danger btn-sm manage-sample-data" onclick="location.href='<?php echo Route::_($loadUrl); ?>'">
							<span class="icon-tasks" aria-hidden="true"></span> <?php echo Text::_('JACTION_EDIT'); ?>
							<span class="visually-hidden"><?php echo Text::_('JACTION_EDIT'); ?></span>
						</button>
					</div>
				</div>
				<p class="small mt-1"><?php echo $item->description; ?></p>
				<?php // Progress bar ?>
				<div class="sampledata-progress-<?php echo $item->name; ?> d-none mb-3">
					<div class="progress">
						<div class="progress-bar progress-bar-striped progress-bar-animated" role="progressbar"></div>
					</div>
				</div>
				<?php // Progress messages ?>
				<div class="sampledata-progress-<?php echo $item->name; ?> d-none">
					<ul class="list-unstyled"></ul>
				</div>
			</li>
		<?php endforeach; ?>
	</ul>
<?php endif; ?>

I've resolved the conflicts and added some margins to the button.
The border was already removed with a different PR elsewhere.

Looks now like this:

Fetching the DB is a no-go in my eyes. Also technically "name" doesn't necessary have to be the name of the plugin. It could be anything. It just happens to be the same name for the core plugins.

So if we want to have a direct button, we need to adjust the overview method so the plugin returns its own ID.

I have tested this item ✅ successfully on 91c4cac

@Bakual solution is straight forward and elegant. Only feedback is whether the button string should be "Manage Sample Data Plugins"

@infograf768 though I get what you're trying to allow for there, the buttons indicating "Edit" are misleading IMO... you're not "Editing" the sample data, you're managing the availability of the plugin.

Regarding the name of the button, I think "Manage Sample Data Plugins" gets to long. Maybe @brianteeman has a better idea for the text (I'm no no native english speaker).

Buttons:
You don't have e.g: Install Sample Data, therefore there is no need for: Manage Sample Data :-)
In short:
Install
Manage

Good point with the string, thanks! Change it.

I have tested this item ✅ successfully on 29274b6

I have tested this item ✅ successfully on ab2019e

Tested after code clean up and button name change. All works.

I have tested this item ✅ successfully on ab2019e

RTC