All web servers are servers. Not all servers are web servers.

A server host services. A web server hosts a web service.

A web server is a specific version of a server, that serves the web, usually via HTTP. But there are much more a server could be. It could serve via SMTP and would be called a mail server. Or it could be an application server in the enterprise business domain. This means a web server is just a special form of a server.

The server is the machine, from e.g dell, or a virtual machine subdividing a real piece of equipment

The webserver is a piece of software it runs that responds mostly to HTTP requests. e.g Apache, Nginx, Traefik, Caddy.

All webservers are running on a server. Not all servers run webserver software, they might be a fileserver running samba or nfs.

Both terms could refer to software or hardware, depending on the context.

The server brings the coffee?

;-)

I’d argue that web server generally refers to HTTP(S) servers more broadly regardless of whether they’re accessible on the web, a local network or even just the local interface.