Rewrite laravel query parameters with nginx - laravel

Question

I have a laravel web app that acts as a CMS and has several sites in one app. I access these sites with the following url:
my-site.com/site/1 - Leads to site 1
I want to rewrite NGINX so that i can point several top domains to their respective site in my CMS.
my-site-1.com -> my-site.com/site/1
How can this be achieved? All questions i can find wants to point a domain to a subfolder, i want to point it to a query parameter.
I use Larave forge + Digitalocean. This is my configuration file
# FORGE CONFIG (DOT NOT REMOVE!)
include forge-conf/default/before/*; #*/
server {
listen 80 default_server;
server_name default;
root /home/forge/default/public;
# FORGE SSL (DO NOT REMOVE!)
# ssl_certificate;
# ssl_certificate_key;
ssl_protocols TLSv1 TLSv1.1 TLSv1.2;
index index.html index.htm index.php;
charset utf-8;
# FORGE CONFIG (DOT NOT REMOVE!)
include forge-conf/default/server/*; #*/
location / {
try_files $uri $uri/ /index.php?$query_string;
if ($http_host ~ "^(www.)?my-site-1.com$"){
#I tried adding som conditional rules here
}
}
location = /favicon.ico { access_log off; log_not_found off; }
location = /robots.txt { access_log off; log_not_found off; }
access_log off;
error_log /var/log/nginx/default-error.log error;
error_page 404 /index.php;
location ~ \.php$ {
fastcgi_split_path_info ^(.+\.php)(/.+)$;
fastcgi_pass unix:/var/run/php/php7.0-fpm.sock;
fastcgi_index index.php;
include fastcgi_params;
fastcgi_connect_timeout 18000;
fastcgi_send_timeout 18000;
fastcgi_read_timeout 18000;
}
location ~ /\.ht {
deny all;
}
}
# FORGE CONFIG (DOT NOT REMOVE!)
include forge-conf/default/after/*; #*/