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_basic_sharing.nyash

@@ -0,0 +1,20 @@
+// Test basic field access sharing
+static box Main {
+    init { mybox }
+    
+    main() {
+        me.mybox = new IntegerBox(100)
+        
+        print("=== Test 1: Basic field access ===")
+        local temp1
+        temp1 = me.mybox
+        print("temp1 ID: " + temp1.toString())
+        
+        local temp2
+        temp2 = me.mybox  
+        print("temp2 ID: " + temp2.toString())
+        
+        // The IDs should be the same if sharing works
+        return temp1
+    }
+}