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

src/ipc/ipc_host.ts

@@ -22,6 +22,7 @@ import { registerProHandlers } from "./handlers/pro_handlers";
 import { registerContextPathsHandlers } from "./handlers/context_paths_handlers";
 import { registerAppUpgradeHandlers } from "./handlers/app_upgrade_handlers";
 import { registerCapacitorHandlers } from "./handlers/capacitor_handlers";
+import { registerProblemsHandlers } from "./handlers/problems_handlers";
 
 export function registerIpcHandlers() {
   // Register all IPC handlers by category
@@ -33,6 +34,7 @@ export function registerIpcHandlers() {
   registerDependencyHandlers();
   registerGithubHandlers();
   registerNodeHandlers();
+  registerProblemsHandlers();
   registerProposalHandlers();
   registerDebugHandlers();
   registerSupabaseHandlers();