iOS w/ Native login - open link in embedded webview

I have an iOS app, using a native login, based on the custom example.

This works perfect and I am happy with it.

I have a requirement to open an embedded WKWebView within my app, that SSO’s a user in.

The url looks something like this:

https://{my-okta-org}.com/app/{some-okta-app-id}/exkms5nzsh0tD0kO10h7/sso/saml?RelayState={some-relay-state}

When I launch this however within my web view, I am redirected to an Okta login page. I would expect this really as the embedded view has no context of the authenticated session.

How can I set my session against this webview without asking the user to sign in again? As I have used the native login, I do not have a cookie set, so I suspect I will need to request one but am unsure of the flow required in this case.