Build Rustdesk-Server under Alpine Linux + service to run it (based on samba service file).

compile.sh

#!/bin/bash

set -e

declare packages="git alpine-sdk cargo"
declare project_name="rustdesk-server"

echo "Installing build packages..."
sudo apk add $packages

if [[ -d $project_name ]]; then
  cd ${project_name}
  git pull
else
  git clone https://github.com/rustdesk/${project_name}.git
  cd ${project_name}
fi

echo "Building..."
#cargo build --release

echo "Copying binaries..."
cp -a target/release/{hbbs,hbbr} ../

cd ../

echo "Compressing files..."
[[ ! -f ${project_name}-release.zip ]] || rm -rf ${project_name:?}-release.zip
zip -9 ${project_name}-release.zip hbbr hbbs

echo "Complete. Have a nice day!"

rustdesk

#!/sbin/openrc-run

name="rustdesk"
description="RustDesk server service"

daemon_list=${daemon_list:-"hbbs hbbr"}
user="$name"
group="$user"
home_dir="/var/opt/rustdesk-server"

depend() {
        need net
        after firewall
}

start_hbbs() {
        start-stop-daemon --start --background \
            -k 0002 -u ${user} -g ${group} \
            --chdir ${home_dir} \
            --exec ${home_dir}/hbbs -- \
            ${hbbs_options}
}

start_hbbr() {
        start-stop-daemon --start --background \
            -k 0002 -u ${user} -g ${group} \
            --chdir ${home_dir} \
            --exec ${home_dir}/hbbr -- \
            ${hbbr_options:-"-k _"}
}

stop_hbbs() {
        start-stop-daemon --stop --exec ${home_dir}/hbbs
}

stop_hbbr() {
        start-stop-daemon --stop --exec ${home_dir}/hbbr
}

start() {
        for i in $daemon_list; do
                ebegin "Starting $i"
                start_$i
                eend $?
        done
}

stop() {
        for i in $daemon_list; do
                ebegin "Stopping $i"
                stop_$i
                eend $?
        done
}

If You don't want to compile it yourself, you can download compiled binaries (for Alpine Linux 3.15) here.
UPDATE: Changed to correct URL.