

not sure what you mean by external DNS
not hosting your own DNS server. specifically it sounds like your DNS server is hosted on your domain provider, not your own local network. you have set up certbot to automatically configure your remotely hosted DNS server for the DNS based renewal.
if DNS based recert was working before then it should be working now.
as I said in my edit, you are likely blocking the return https traffic from the US based let’s encrypt acme servers - so your initial diagnostic is correct. your local firewall is likely stopping the acme servers from talking back to your local host.
you are right back where you started, asking for info in how to allow-list the acme IP ranges. but at least we may now know why it is not working and you are seeing an https timeout even though you are using DNS based certificate renewals.
edit: typos



agreed. you are using DNS-01 challenges. so the workflow is…
your local certbot machine initiates an https connection to the letsencrypt servers to start the DNS-01 challenge. during this HTTPS dialog, your local certbot is informed of the key material to insert into your DNS records. your local certbot then modifies your netcup DNS server (hosted remotely, not on your local network) with the keying material and the letsencrypt servers verify that the keys are actually there, proving that you control the domain. the letsencrypt serves then issue you the certificate (again, via HTTPS) and your local certbot stores it in your local host.
the issue is most likely stems from the initial HTTPS connection that certbot tries to make to the let’s encrypt servers. while your firewall allows this traffic out, it does not allow return traffic back in because of your explicit blocking of US (and perhaps other) based addresses.
even through your are using DNS for your domain autentocation, your local host - the machine running certbot - is unable to initiate the certificate transfer because of the firewall blocking return traffic.
the two external networks (and, therefore IP ranges/subnets/etc) that are important here are the let’s encrypt servers and the netcup DNS servers. certbot will have to talk to both of these in order to function.