Moved the chats of the BeyondFacts Lab to the embedded chat of assistants (#1203)

app/MindWork AI Studio/Chat/Embedded/EmbeddedChatOpening.cs

@@ -1,7 +1,8 @@
 namespace AIStudio.Chat.Embedded;
 
 /// <summary>
-/// Decides when an embedded chat sends the message it opens with, see EmbeddedChat.OpeningMessage.
+/// Decides how an embedded chat opens: when it sends the message it opens with, see EmbeddedChat.OpeningMessage, and
+/// when it offers to let the model begin, see EmbeddedChat.StartRequest.
 /// </summary>
 public static class EmbeddedChatOpening
 {
@@ -19,4 +20,17 @@ public static class EmbeddedChatOpening
     /// <returns>True when the chat sends the message now.</returns>
     public static bool SendsNow(ContentText? openingMessage, EmbeddedConversation? conversation, bool wasSent) =>
         openingMessage is not null && !wasSent && conversation is { IsAvailable: true, IsRunning: false, UserMessageCount: 0 };
+
+    /// <summary>
+    /// Tells whether an embedded chat offers to let the model open its conversation.
+    /// </summary>
+    /// <remarks>
+    /// Only before anything the user sees: once the model or the user wrote, the conversation has begun. The user may
+    /// always write first instead.
+    /// </remarks>
+    /// <param name="startRequest">The request which lets the model begin, or null without one.</param>
+    /// <param name="conversation">The chat shown, or null while it loads.</param>
+    /// <returns>True when the chat offers to begin.</returns>
+    public static bool OffersStart(string? startRequest, EmbeddedConversation? conversation) =>
+        !string.IsNullOrWhiteSpace(startRequest) && conversation is { IsAvailable: true, IsRunning: false, HasVisibleMessages: false };
 }