Add IPC backoff/retries and safer disposal

Introduce exponential backoff, jitter and retry logic across IPC components to improve robustness and avoid tight retry loops; make disposal idempotent and add connection guards. Key changes:
- LauncherCoordinatorIpcServer / LauncherIpcServer: add backoff constants, ComputeBackoff(), consecutive error tracking and delayed retries with jitter.
- LanMountainDesktopIpcClient / LauncherIpcClient: add connect retry loops, timeouts, delayed retries, improved error logging, and use ArrayPool for buffered async writes; ensure proper cleanup on failures.
- PublicIpcHostService: add disposed flag, guard OnPeerConnected and Dispose, and clear connected peers on dispose.
- Add many auto-generated commit analysis docs under docs/auto_commit_md and new scripts for analyzing/generating commit docs.
These changes aim to make IPC connection handling more resilient and resource-safe.

LanMountainDesktop.Shared.IPC/PublicIpcHostService.cs

@@ -20,6 +20,7 @@ public sealed class PublicIpcHostService : IDisposable, IExternalIpcNotification
     private readonly ConcurrentDictionary<string, PeerProxy> _connectedPeers = new(StringComparer.OrdinalIgnoreCase);
     private readonly object _gate = new();
     private bool _started;
+    private bool _disposed;
 
     public PublicIpcHostService(string pipeName = IpcConstants.DefaultPipeName)
     {
@@ -190,12 +191,26 @@ public sealed class PublicIpcHostService : IDisposable, IExternalIpcNotification
 
     public void Dispose()
     {
+        if (_disposed)
+        {
+            return;
+        }
+
+        _disposed = true;
+
+        _connectedPeers.Clear();
+
         Provider.PeerConnected -= OnPeerConnected;
         Provider.Dispose();
     }
 
     private void OnPeerConnected(object? sender, PeerConnectedArgs e)
     {
+        if (_disposed)
+        {
+            return;
+        }
+
         var peer = e.Peer;
         _connectedPeers[peer.PeerName] = peer;
         peer.PeerConnectionBroken -= OnPeerConnectionBroken;