Example to show the callout after DML rollback in Apex with new Database.releaseSavepoint

SavePointReleaseCalloutExample.cls

// This class works if your class -meta.xml is of 60.0 version
public with sharing class SavePointReleaseCalloutExample {

    public void basicAuthCallout() {
        
           // Do a DML before callout
            Savepoint sp = Database.setSavepoint();
            
            Account acc = new Account();
            acc.Name = 'Test';
            insert acc;
            
            Database.rollback(sp);
            
            Database.releaseSavepoint(sp);

            HttpRequest request = new HttpRequest();
            request.setEndpoint('https://dog.ceo/api/breeds/image/random'); // Set the endpoint URL
            request.setMethod('GET'); // Set the HTTP POST method
        
            // Set the request headers
            request.setHeader('Content-Type', 'application/json');
            request.setHeader('Accept', 'application/json');
        
            // Send the request
            Http http = new Http();
            HttpResponse response = http.send(request);
        
            // Process the response
            if (response.getStatusCode() == 200) { 
                String responseBody = response.getBody();
                System.debug(responseBody);
            }
    }
}