Problems: auto-fix & problem panel (#541)

Test cases:
- [x] create-ts-errors
  - [x] with auto-fix
  - [x] without auto-fix 
- [x] create-unfixable-ts-errors
- [x] manually edit file & click recheck
- [x] fix all
- [x] delete and rename case

THINGS
- [x] error handling for checkProblems isn't working as expected
- [x] make sure it works for both default templates (add tests) 
- [x] fix bad animation
- [x] change file context (prompt/files)

IF everything passes in Windows AND defensive try catch... then enable
by default
- [x] enable auto-fix by default

testing/fake-llm-server/chatCompletionHandler.ts

@@ -25,6 +25,55 @@ export const createChatCompletionHandler =
 
     let messageContent = CANNED_MESSAGE;
 
+    // TS auto-fix prefixes
+    if (
+      lastMessage &&
+      typeof lastMessage.content === "string" &&
+      lastMessage.content.startsWith(
+        "Fix these 2 TypeScript compile-time error",
+      )
+    ) {
+      // Fix errors in create-ts-errors.md and introduce a new error
+      messageContent = `
+<dyad-write path="src/bad-file.ts" description="Fix 2 errors and introduce a new error.">
+// Import doesn't exist
+// import NonExistentClass from 'non-existent-class';
+
+
+const x = new Object();
+x.nonExistentMethod2();
+</dyad-write>
+
+      `;
+    }
+    if (
+      lastMessage &&
+      typeof lastMessage.content === "string" &&
+      lastMessage.content.startsWith(
+        "Fix these 1 TypeScript compile-time error",
+      )
+    ) {
+      // Fix errors in create-ts-errors.md and introduce a new error
+      messageContent = `
+<dyad-write path="src/bad-file.ts" description="Fix remaining error.">
+// Import doesn't exist
+// import NonExistentClass from 'non-existent-class';
+
+
+const x = new Object();
+x.toString(); // replaced with existing method
+</dyad-write>
+
+      `;
+    }
+
+    if (
+      lastMessage &&
+      typeof lastMessage.content === "string" &&
+      lastMessage.content.includes("TypeScript compile-time error")
+    ) {
+      messageContent += "\n\n" + generateDump(req);
+    }
     if (
       lastMessage &&
       typeof lastMessage.content === "string" &&