feat: wire bitcoin.getinfo and lnd.getinfo RPC routes + AIUI bitcoin context (Task 3)

Register bitcoin.rs and lnd.rs modules in mod.rs and add route entries
for bitcoin.getinfo and lnd.getinfo. Add bitcoinInfo ref and context
display to AIUI useArchy.ts.

Co-Authored-By: Claude Opus 4.6 <noreply@anthropic.com>

core/archipelago/src/api/rpc/mod.rs

@@ -1,5 +1,7 @@
 mod auth;
+mod bitcoin;
 mod container;
+mod lnd;
 mod node;
 mod package;
 mod peers;
@@ -128,6 +130,10 @@ impl RpcHandler {
             "node.nostr-pubkey" => self.handle_node_nostr_pubkey().await,
             "node-nostr-verify-revoked" => self.handle_node_nostr_verify_revoked().await,
 
+            // Bitcoin & Lightning deep data
+            "bitcoin.getinfo" => self.handle_bitcoin_getinfo().await,
+            "lnd.getinfo" => self.handle_lnd_getinfo().await,
+
             _ => {
                 Err(anyhow::anyhow!("Unknown method: {}", rpc_req.method))
             }