PubishingAsks.cs

// first, we get a list of all posts
BasePost[] inbox = Client.GetSubmissionPostsAsync(TUMBLR_BLOG_NAME);

// loop through our inbox
foreach (var message in inbox)
{
  // cast our generic BasePost to an AnswerPost to expose relevant information
  AnswerPost ask = (AnswerPost)message;
  
  // edit our post and publish
  Client.EditPostAsync(
      TUMBLR_BLOG_NAME, 
      ask.Id, PostData.CreateAnswer(
              answer: "my response", 
              tags: new string[0], 
              state: PostCreationStatePublished));
}