htaccess how to always have subdomain in url for every route - .htaccess

Question

I'm trying to set up my laravel project made on a local appache server on a internal shared hosting service of my university.
The problem I am having is that except for the routes related to my laravel projects Authorisation/Authentication (HomeController) stuff other routes do not work as the subdomain for those routes are not automatically added like this for them (bolded part being the subdomain):
https://www.cs2410-web02pvm.aston.ac.uk/~khane2/home
Here is my web.php of my laravel project:
Route::get('/animal_user_change_status/{animal_id}/attach', 'Animal_usersController#attach');
Route::get('/animal_user_change_status/{animal_id}/{user_id}/detach', 'Animal_usersController#detach');
Route::get('/animal_user_change_status/{animal_id}/{user_id}/Accept', 'Animal_usersController#setAcceptToStatusColumn');
Route::get('/animal_user_change_status/{animal_id}/{user_id}/Reject', 'Animal_usersController#setRejectToStatusColumn');
Route::get('/viewuserdata', 'Animal_usersController#viewUserData');
Route::get('/viewanimalsdata', 'Animal_usersController#viewAnimalData');
Route::get('/', 'AnimalController#index'); // just incase anything redricts to '/'
Route::resource('Animal', 'AnimalController');
Auth::routes();
Route::get('/home', 'HomeController#index')->name('home');
Here is my .../public_html/.htaccess from my server.
<IfModule mod_rewrite.c>
<IfModule mod_negotiation.c>
Options -MultiViews -Indexes
</IfModule>
Options +FollowSymLinks
RewriteEngine On
# Handle Authorization Header
RewriteCond %{HTTP:Authorization} .
RewriteRule .* - [E=HTTP_AUTHORIZATION:%{HTTP:Authorization}]
#Redirect Trailing Slashes If Not A Folder...
RewriteCond %{REQUEST_FILENAME} !-d
RewriteCond %{REQUEST_URI} (.+)/$
RewriteRule ^ %1 [L,R=301]
#Handle Front Controller...
RewriteCond %{REQUEST_FILENAME} !-d
RewriteCond %{REQUEST_FILENAME} !-f
RewriteCond %{REQUEST_URI} /(~[^/]+)(.*)
RewriteRule ^ /%1/index.php [L]
</IfModule>
Thanks in advance