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

e2e-tests/snapshots/thinking_budget.spec.ts_thinking-budget-1.txt

@@ -21,5 +21,6 @@
   "enableProLazyEditsMode": true,
   "enableProSmartFilesContextMode": true,
   "selectedChatMode": "build",
+  "enableAutoFixProblems": true,
   "isTestMode": true
 }