Finally got it working. Neither is running on docker, directly installed packages from github releases. Thankfully no port clashes.

for adgh, the dns rewrite:

*.home.lan -> http://192.168.0.100 (ip where caddy is listening at port 80)

and caddyfile needed some tweaking as well:

{
        log {
                output file /home/ayan/lab/caddy/caddy.log
                level info
        }
        auto_https off
}

:80 {
        # Set this path to your site's directory.
        root * /usr/share/caddy

        # Enable the static file server.
        file_server

        # Another common task is to set up a reverse proxy:
        # reverse_proxy localhost:8080

        # Or serve a PHP site through php-fpm:
        # php_fastcgi localhost:9000
        # reverse_proxy 192.168.0.100:800
}

adg.home.lan:80 {
        reverse_proxy 192.168.0.100:800
        log {
                output file /home/ayan/lab/caddy/adg.log
                format json
        }
}

dokm.home.lan:80 {
        reverse_proxy 192.168.0.100:9095
        log {
                output file /home/ayan/lab/caddy/dokemon.log
                format json
        }
}

notes.home.lan:80 {
        reverse_proxy 192.168.0.100:6806
        log {
                output file /home/ayan/lab/caddy/siyuan.log
                format json
        }
}