network: per-peer connection badge (direct/relay, RTT, loss, bitrate)

Answer "am I actually P2P right now?" per peer. A 1 Hz session task
snapshots the selected QUIC path of every live audio connection
(IrohTransport::connection_stats), core::connstats::derive turns
consecutive snapshots into RTT/loss/bitrate (path switches and counter
resets invalidate the rate window), and the peer card shows a
Direct/Relay badge with a hover tooltip for address, loss, and up/down
bitrate. No new dependencies, no wire change.

Loopback-integration-tested against real iroh endpoints; not yet
field-verified on a 2-machine call (FEATURES.md row marked 🧪).

Co-Authored-By: Claude Fable 5 <noreply@anthropic.com>

src/network/iroh_impl.rs

@@ -689,6 +689,57 @@ impl IrohTransport {
         Ok(bytes)
     }
 
+    /// Snapshot the selected QUIC path of every live audio connection, for the
+    /// UI's per-peer connection badge (direct/relay, RTT, loss, bitrate).
+    /// Cheap and lock-light: the `live_conns` guard is released before touching
+    /// any connection, and `Connection::paths()` reads shared state without I/O.
+    pub fn connection_stats(&self) -> Vec<(EndpointId, crate::network::PathSnapshot)> {
+        // Clone the connections out so the map lock isn't held while we inspect
+        // paths (a supervisor inserts/removes entries as links come and go).
+        let conns: Vec<(EndpointId, Connection)> = self
+            .shared
+            .live_conns
+            .lock()
+            .unwrap()
+            .iter()
+            .map(|(id, conn)| (*id, conn.clone()))
+            .collect();
+        conns
+            .into_iter()
+            .filter_map(|(id, conn)| {
+                let paths = conn.paths();
+                // The selected path is the one carrying application data. In the
+                // brief window where none is flagged (e.g. mid-migration), fall
+                // back to the first open path rather than dropping the badge.
+                let path = paths
+                    .iter()
+                    .find(|p| p.is_selected())
+                    .or_else(|| paths.iter().next())?;
+                let stats = path.stats();
+                // Per-variant display: `TransportAddr`'s own `Display` prefixes
+                // a scheme ("ip:1.2.3.4:5") that's noise next to the badge's
+                // Direct/Relay label.
+                let remote_addr = match path.remote_addr() {
+                    iroh::TransportAddr::Ip(sock) => sock.to_string(),
+                    iroh::TransportAddr::Relay(url) => url.to_string(),
+                    other => other.to_string(),
+                };
+                Some((
+                    id,
+                    crate::network::PathSnapshot {
+                        is_relay: path.remote_addr().is_relay(),
+                        remote_addr,
+                        rtt: stats.rtt,
+                        tx_bytes: stats.udp_tx.bytes,
+                        rx_bytes: stats.udp_rx.bytes,
+                        tx_datagrams: stats.udp_tx.datagrams,
+                        lost_packets: stats.lost_packets,
+                    },
+                ))
+            })
+            .collect()
+    }
+
     /// Fetch a chat attachment's bytes from its sender over the file plane.
     pub async fn fetch_attachment(
         &self,