NGINX rewrite and proxy subdomain to subdirectory?

Question

Nginx

Greetings. There was a necessity to make so:
There is a subdomain, demo.site.ru.
There are sites /app1 and /app2.
Make rewrite and send to the right places turned out.
But neither styles nor scripts are loaded, they go to the base subdomain demo.site.ru/js and, accordingly, are not available. should be demo.site.ru/app1/js.

Example config for app1:

upstream unicorn_app1_production {
  server unix:/tmp/unicorn.app1_production.sock fail_timeout=0;
}
                                                                
                                                                              
server {                                                                      
                                                                              
  listen 80;                                                                  
                                                                              
                                                                              
  client_max_body_size 25M;                                                   
  keepalive_timeout 10;                                                       
                                                                              
  server_name www.demo.site.ru demo.site.ru;                            
                                                                              
location /app1/ {                                                      
 root /var/www/apps/demo/app1/current/public;                          
 rewrite ^/app1/(.*) /$1  break;                                       
 rewrite_log on;                                                              
                                                                              
 proxy_pass http://unicorn_app1_production;                         
                                                                              
 proxy_set_header X-Forwarded-For $proxy_add_x_forwarded_for;                 
 proxy_set_header Host $http_host;                                            
 proxy_redirect off;                                                          
 proxy_set_header X-Real-IP  $remote_addr;                                    
 proxy_set_header X-Forwarded-Proto $scheme;                                  
                                                                              
 access_log /var/log/nginx/app1/app1_production.access.log;     
 error_log /var/log/nginx/app1/app1_production.error.log;       
}

I'm trying to add another rewite: .js, .css by analogy, but it doesn't work out.
rewrite ^\.(js|css|jpg)$ /$1 break;
Can you tell me how to properly taxi the request?