Remove git commands from Ralph loop recipes

Git operations (commit, push) belong in the prompt instructions, not
hardcoded in the loop orchestrator. The SDK recipes should focus purely
on the SDK API: create client, create session, send prompt, destroy.

cookbook/copilot-sdk/dotnet/recipe/ralph-loop.cs

@@ -1,7 +1,6 @@
 #:package GitHub.Copilot.SDK@*
 #:property PublishAot=false
 
-using System.Diagnostics;
 using GitHub.Copilot.SDK;
 
 // Ralph loop: autonomous AI task loop with fresh context per iteration.
@@ -28,15 +27,9 @@ var promptFile = mode == "plan" ? "PROMPT_plan.md" : "PROMPT_build.md";
 var client = new CopilotClient();
 await client.StartAsync();
 
-var branchProc = Process.Start(new ProcessStartInfo("git", "branch --show-current")
-    { RedirectStandardOutput = true })!;
-var branch = (await branchProc.StandardOutput.ReadToEndAsync()).Trim();
-await branchProc.WaitForExitAsync();
-
 Console.WriteLine(new string('━', 40));
 Console.WriteLine($"Mode:   {mode}");
 Console.WriteLine($"Prompt: {promptFile}");
-Console.WriteLine($"Branch: {branch}");
 Console.WriteLine($"Max:    {maxIterations} iterations");
 Console.WriteLine(new string('━', 40));
 
@@ -69,16 +62,6 @@ try
             await session.DisposeAsync();
         }
 
-        // Push changes after each iteration
-        try
-        {
-            Process.Start("git", $"push origin {branch}")!.WaitForExit();
-        }
-        catch
-        {
-            Process.Start("git", $"push -u origin {branch}")!.WaitForExit();
-        }
-
         Console.WriteLine($"\nIteration {i} complete.");
     }