The website points at Cloudflare itself. Not you.
The website’s DNS record points to a Cloudflare IP or a forbidden address instead of its own server. Waiting won’t change it. Configuration. Until the owner fixes the DNS record.
Nothing on your side causes this. VPN, cookies and browser do not matter here.
Point the DNS record at the origin server’s real IP, or use a CNAME to the origin hostname.
Cloudflare’s documentation