fritex
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Does the sub-domain have got an SSL certificate? If not, you would need to generate one.
Kindly, see here why your SSL not working for your sub-domain:
Nevertheless, follow the steps from this tutorial regarding an SSL certificate:
Moreover, what kind of SSL option have you got selected under SSL tab/settings page at Cloudflare dashboard for your domain?
Is your sub-domain A or CNAME record being cloud or cloud?
Also, I got an redirection loop error and regarding the redirection loops, kindly check the steps from the below article:
https://support.cloudflare.com/hc/en-us/articles/115000219871-Troubleshooting-redirect-loop-errors-