The .p8 is used to authenticate you as having the right to send notifications to a certain app.
This root certificate is required so you can establish a secure https connection to APNs to begin with. Your server's network stack must have some such certificate or it wouldn't be able to connect today.
Unfortunately we cannot provide specific instructions on how to install this root certificate on your push servers. Each server operating system and push server software will have different ways these root certificates are installed, which is out of scope of our support abilities.
If you are not sure how to do this, I would recommend you seek help for this from your server-side developers or server admins.
Or, if you don't have access to such resources, you can ask the support channels for your system the question: How do I install a root certificate?
We have setup a test server at 17.188.143.34:443 that you can use to try and send pushes to test whether your current root certificate is adequate, or the new one is correctly installed.
https://developer.apple.com/forums/thread/772042