Ok, made it this way after docker desktop installation (Powershell):
dockerDaemon = "{ENV:ProgramFiles}\Docker\Docker\resources\dockerd.exe"
Stop-Service -Name “com.docker.service”
& sc.exe delete com.docker.service
& $dockerDaemon -H npipe:////./pipe/docker_engine --service-name=com.docker.windows --register-service
Start-Service -Name “com.docker.windows”
docker ps -a now works fine