This issue could be caused by the server not being able to handle the POST request to the livewire/message{name} route. One solution could be to add a rewrite rule to the .htaccess file to handle the livewire requests.
Here's an example of what the .htaccess file could look like:
<IfModule mod_rewrite.c>
RewriteEngine On
RewriteRule ^subdir-name/livewire(/.*)?$ /subdir-name/index.php [L]
</IfModule>
Replace "subdir-name" with the name of the subdirectory where your Laravel app is located.
If this solution doesn't work, it could be helpful to check the server logs for any errors related to the livewire requests.