feat(phase-9.75g-0): Implement BID-FFI Day 3 - Box type integration

- Implement BID Box Bridge interface for Nyash Box <-> BID Handle conversion
- Add StringBox BID bridge implementation with handle/TLV support
- Add IntegerBox BID bridge implementation with handle/TLV support
- Implement BoxRegistry for managing Box instances and handles
- Add comprehensive tests for StringBox/IntegerBox BID round-trip
- Extract helper functions for string/integer value extraction

Everything is Box philosophy shines through unified BID integration! 🎉

🤖 Generated with [Claude Code](https://claude.ai/code)

Co-Authored-By: Claude <noreply@anthropic.com>

src/boxes/integer_box.rs

@@ -38,6 +38,7 @@
  */
 
 use crate::box_trait::{NyashBox, BoxCore, BoxBase};
+use crate::bid::{BidBridge, BidHandle, BidType, BidError, BoxRegistry};
 use std::any::Any;
 use std::fmt::Display;
 
@@ -116,4 +117,23 @@ impl Display for IntegerBox {
     fn fmt(&self, f: &mut std::fmt::Formatter<'_>) -> std::fmt::Result {
         self.fmt_box(f)
     }
+}
+
+impl BidBridge for IntegerBox {
+    fn to_bid_handle(&self, registry: &mut BoxRegistry) -> Result<BidHandle, BidError> {
+        use std::sync::Arc;
+        let arc_box: Arc<dyn NyashBox> = Arc::new(self.clone());
+        let handle = registry.register_box(
+            crate::bid::types::BoxTypeId::IntegerBox as u32,
+            arc_box
+        );
+        Ok(handle)
+    }
+    
+    fn bid_type(&self) -> BidType {
+        BidType::Handle { 
+            type_id: crate::bid::types::BoxTypeId::IntegerBox as u32,
+            instance_id: 0  // Will be filled by registry
+        }
+    }
 }

src/boxes/string_box.rs

@@ -28,6 +28,7 @@
  * ```
  */
 use crate::box_trait::{NyashBox, BoxCore, BoxBase};
+use crate::bid::{BidBridge, BidHandle, BidType, BidError, BoxRegistry};
 use std::any::Any;
 use std::fmt::Display;
 
@@ -184,4 +185,23 @@ impl Display for StringBox {
     fn fmt(&self, f: &mut std::fmt::Formatter<'_>) -> std::fmt::Result {
         self.fmt_box(f)
     }
+}
+
+impl BidBridge for StringBox {
+    fn to_bid_handle(&self, registry: &mut BoxRegistry) -> Result<BidHandle, BidError> {
+        use std::sync::Arc;
+        let arc_box: Arc<dyn NyashBox> = Arc::new(self.clone());
+        let handle = registry.register_box(
+            crate::bid::types::BoxTypeId::StringBox as u32,
+            arc_box
+        );
+        Ok(handle)
+    }
+    
+    fn bid_type(&self) -> BidType {
+        BidType::Handle { 
+            type_id: crate::bid::types::BoxTypeId::StringBox as u32,
+            instance_id: 0  // Will be filled by registry
+        }
+    }
 }