addon-cloudflared: Internet check fails "Host has no internet connection..."

The problem

(Copying the issue from the HA Community here): I am currently running into an issue where the tunneling using freenom and cloudflared addon is seeming to not have an internet connection.

What version of Cloudflared has the issue?

2.0.13

What was the last working version of Cloudflared?

2.0.12

What type of installation are you running?

Home Assistant OS

Add-on YAML Configuration

No response

Anything in the logs that might be useful for us?

s6-rc: info: service s6rc-oneshot-runner: starting
56-rc: info: service s6rc-oneshot-runner successfully started
56-rc: info: service fix-attrs: starting
56-rc: info: service fix-attrs successfully started
56-rc: info: service legacy-cont-init: starting
cont-init: info: running /etc/cont-init.d/ee-banner.sh
Add-on: Cloudflared
Use a Cloudflared tunnel (formerly Argo Tunnel) to remotely connect to Home Assistant without opening any ports
Add-on version: 2.0.13
You are running the latest version of this add-on.
System: Home Assistant 05 8.5
(amd64 / generic-x86-64)
Home Assistant Core: 2022.8.6
Home Assistant Supervisor: 2022.08.3
Please, share the above information when looking for help
or support in,
e.g.,
GitHub. forums or the Discord chat.
cont-init: info: /etc/cont-init.d/00-banner.sh exited e
cont-init: info: running /etc/cont-init.d/01-log-level.sh
cont-init: info: /etc/cont-init.d/01-log-level.sh exited e
56-rc: info: service legacy-cont-init successfully started
56-rc: info: service init-cloudflared-log: starting
56-rc: info: service init-cloudflared-log successfully started
56-rc: info: service init-cloudflared-config: starting
[22:53:25] ERROR: Host has no internet connection, waiting 30 seconds...

Steps to reproduce the issue

Start HomeAssistant

Additional information

No response