feat: summarize mesh bridge status in settings

the bridge settings card only exposed a toggle and a no-cell caption, so
the active rendezvous cell, how many people are reachable via the bridge,
and whether composing stays nearby-only all had to be inferred from the
header icons. add a BridgeStatusSummary formatter and render it as a
one-line status under the toggle.

bitchat/Services/Gateway/BridgeStatusSummary.swift

@@ -0,0 +1,63 @@
+//
+// BridgeStatusSummary.swift
+// bitchat
+//
+// This is free and unencumbered software released into the public domain.
+// For more information, see <https://unlicense.org>
+//
+
+import Foundation
+
+/// One-line mesh bridge status for the settings pane.
+enum BridgeStatusSummary {
+    static func formatted(
+        enabled: Bool,
+        cell: String?,
+        bridgedCount: Int,
+        nearbyOnly: Bool
+    ) -> String {
+        if !enabled {
+            return String(
+                localized: "app_info.settings.bridge.status.off",
+                defaultValue: "bridge off — only radio-range mesh traffic",
+                comment: "Bridge status line when the mesh bridge toggle is off"
+            )
+        }
+        let cellPart = cell.map {
+            String(
+                format: String(
+                    localized: "app_info.settings.bridge.status.cell",
+                    defaultValue: "rendezvous #%@",
+                    comment: "Bridge status fragment showing rendezvous cell; %@ is geohash"
+                ),
+                locale: .current,
+                $0
+            )
+        } ?? String(
+            localized: "app_info.settings.bridge.status.no_cell",
+            defaultValue: "no rendezvous cell",
+            comment: "Bridge status fragment when no cell is active"
+        )
+        let peoplePart = String(
+            format: String(
+                localized: "app_info.settings.bridge.status.people",
+                defaultValue: "%lld people via bridge",
+                comment: "Bridge status fragment counting bridged participants; %lld is count"
+            ),
+            locale: .current,
+            bridgedCount
+        )
+        let composePart = nearbyOnly
+            ? String(
+                localized: "app_info.settings.bridge.status.compose_nearby",
+                defaultValue: "compose: nearby only",
+                comment: "Bridge status fragment when outgoing mesh messages stay on radio"
+            )
+            : String(
+                localized: "app_info.settings.bridge.status.compose_bridged",
+                defaultValue: "compose: bridged",
+                comment: "Bridge status fragment when outgoing mesh messages cross the bridge"
+            )
+        return [cellPart, peoplePart, composePart].joined(separator: " · ")
+    }
+}

bitchat/Views/AppInfoView.swift

@@ -78,6 +78,14 @@ struct AppInfoView: View {
                 )
             }
             static let bridgeNoCell = String(localized: "app_info.settings.bridge.no_cell", defaultValue: "no rendezvous cell yet — needs location access or a nearby bridge peer", comment: "Caption under the mesh bridge toggle when the bridge is on but has no geohash cell to meet on")
+            static func bridgeStatusSummary(enabled: Bool, cell: String?, bridgedCount: Int, nearbyOnly: Bool) -> String {
+                BridgeStatusSummary.formatted(
+                    enabled: enabled,
+                    cell: cell,
+                    bridgedCount: bridgedCount,
+                    nearbyOnly: nearbyOnly
+                )
+            }
 
             // Moved from LocationChannelsSheet; keys unchanged. (The former
             // internet-gateway toggle is gone: the bridge switch drives all
@@ -440,6 +448,17 @@ struct AppInfoView: View {
                             .bitchatFont(size: 11)
                             .foregroundColor(secondaryTextColor)
                     }
+                    Text(
+                        verbatim: Strings.Settings.bridgeStatusSummary(
+                            enabled: bridgeService.isEnabled,
+                            cell: bridgeService.activeCell,
+                            bridgedCount: bridgeService.bridgedPeerCount,
+                            nearbyOnly: bridgeService.nearbyOnly
+                        )
+                    )
+                    .bitchatFont(size: 11)
+                    .foregroundColor(secondaryTextColor)
+                    .fixedSize(horizontal: false, vertical: true)
                 }
 
                 settingsCard {