hijiri

Add the link to dynamic latest post page, and the Archive page to Nav Menu.
Latest
The ‘Latest’ nav menu create the link to latest post page of Custom Post Type. 
( orderby ‘menu_order’, ‘post_date’ )
When the new post is added, the link of ‘Latest’ is updated dynamically.
Archive
The ‘Archive’ nav menu create the link to the Archive page of Custom Post Type.
This Plugin published on <a href="https://github.com/hijiriworld/dynamic-latest-post-in-nav-menu" rel="nofollow ugc">GitHub.</a>

Dynamic Latest Post in Nav Menu

Add the link to dynamic latest post page, and the Archive page to Nav Menu.

shazdeh

Using this plugin you can use WordPress <a href="https://codex.wordpress.org/Conditional_Tags" rel="nofollow ugc">Conditional Tags</a> to enable or disable menu items on the front-end. It works like ‘Widget Logic’ but for menu items.
PLEASE NOTE The conditions are PHP codes that are evaluated using PHP’s “<a href="https://www.php.net/manual/en/function.eval.php" rel="nofollow ugc">eval</a>” function, meaning anyone who has access to the Menu manager in WordPress can execute any code. Be mindful of who has access to the Menu manager.
<h4>Usage</h4>
You must insert conditional tags in the “Visibility” box in the menu item options form. You can use any PHP or WordPress functions to build crazy conditions and logics for menu items. For example, to hide the menu item on homepage you can set the visibility to:
<pre><code>! is_home()
</code></pre>
Show the menu only to logged-in users:
<pre><code>is_user_logged_in()
</code></pre>
Show the menu only to guest visitors:
<pre><code>! is_user_logged_in()
</code></pre>
To show the menu item based on <a href="https://wordpress.org/support/article/roles-and-capabilities/">user capability</a>:
<pre><code>current_user_can( 'manage_options' )
</code></pre>

Menu Item Visibility Control

Control individual menu items' visibility based on your desired condition.

Dynamic Latest Post in Nav Menu vs Menu Item Visibility Control