feat: Prepare for code modularization and cleanup

- Archive old documentation and test files to `docs/archive/` and `local_tests/`.
- Remove various temporary and old files from the project root.
- Add `nekocode-rust` analysis tool and its output files (`nekocode/`, `.nekocode_sessions/`, `analysis.json`).
- Minor updates to `apps/chip8_nyash/chip8_emulator.nyash` and `local_tests` files.

This commit cleans up the repository and sets the stage for further code modularization efforts, particularly in the `src/interpreter` and `src/parser` modules, based on recent analysis.

local_tests/test_socket_simple.nyash

@@ -0,0 +1,23 @@
+// Simple test for SocketBox state sharing
+static box Main {
+    main() {
+        print("🧪 Testing SocketBox state sharing...")
+        
+        local socket
+        socket = new SocketBox()
+        
+        print("Initial isServer: " + socket.isServer().toString())
+        
+        local bindOk
+        bindOk = socket.bind("127.0.0.1", 8080)
+        print("Bind result: " + bindOk.toString())
+        
+        print("After bind isServer: " + socket.isServer().toString())
+        
+        local closeOk
+        closeOk = socket.close()
+        print("Close result: " + closeOk.toString())
+        
+        return true
+    }
+}