One should be aware that WARC is great for preservation, but getting content back out of it would require specialized tooling ala: https://github.com/alard/warc-proxy
1: https://github.com/mitmproxy/mitmproxy/blob/9.0.1/mitmproxy/...
Once you have the WARCs you can upload them to Archive.org and they can be added to the wayback, or you can set up your own service for browsing them, built off something like warc-proxy https://github.com/alard/warc-proxy (Yeah, same name different purpose...)
There is also a MITM version of WARCProxy that will let you store HTTPS sites: https://github.com/odie5533/WarcMITMProxy
The whole point of a service like this is long-term access and that really requires a data checkout option which can be used with other tools (e.g. https://github.com/alard/warc-proxy).