@aws-amplify/ui-vue should support federated sign in through Cognito User Pools

### On which framework/platform would you like to see this feature implemented?

Vue

### Which UI component is this feature-request for?

Authenticator

### Please describe your feature-request in detail.

This is identical to the request here which was likely misinterpreted - https://github.com/aws-amplify/amplify-ui/issues/2716

I have been unable to find documentation related to usage of the hosted UI with cognito identity providers. See image below as an example when you use the AWS hosted UI for cognito and it can show your user pools IDP's.

The features offered here - https://ui.docs.amplify.aws/vue/connected-components/authenticator/configuration#social-providers

Only show social providers and password authentication. However in this usecase and OP's usecase in the issue 2716 is where we are using Cognito as the Oauth provider.

### Please describe a solution you'd like.

It would be nice to have support of Cognito as an Oauth provider i.e. "sign in with your provider" as shown in the hosted UI generated by AWS.

### We love contributors! Is this something you'd be interested in working on?

- [ ] 👋 I may be able to implement this feature request.
- [ ] ⚠️ This feature might incur a breaking change.

Start with the Vue Authenticator configuration documentation, especially the social-providers section, and compare this request with issue 2716. Define what Cognito User Pool identity providers should expose in the hosted UI and how completion would be demonstrated for the Authenticator component.

Written by the indexing model from the issue text.