How to handle all domains through Nginx inside a container?

Question

Nginx

A container is running on the virtual machine.

Dockerfile

FROM nginx:latest

COPY my.conf /etc/nginx/conf.d/

EXPOSE 80
EXPOSE 443

my.conf

server {
    listen 80;
    server_name localhost;

    location / {
        access_log off;
        default_type text/plain;
        add_header Content-Type text/plain;
        return 200 "localhost alive";
    }
}

server {
    listen 80;
    server_name test.com;

    location / {
        access_log off;
        default_type text/plain;
        add_header Content-Type text/plain;
        return 200 "test.com alive";
    }
}

server {
    listen 80;
    server_name site.com;

    location / {
        access_log off;
        default_type text/plain;
        add_header Content-Type text/plain;
        return 200 "site.com alive";
    }
}

On the virtual machine, the container responds
curl http://localhost
Returns localhost alive

Trying to set up domains.
site.com and test.com are directed to the IP of the server using A-records.
Returns an error:

ERR_CONNECTION_REFUSED

UPD 1
Here is a discussion of open ports:
https://qna.habr.com/q/1136198

Answer 1

call by name curl http://test.comget test.com alive
call by name curl http://site.comget site.com alive
of course provided that test.com & site.com point to the host where the Docker engine is running.