iOS Live Activity Updates

Nucleic-Session: 665980BA-E8A5-4E84-9DF4-1757CF792353
Co-authored-by: Nucleic <[email protected]>

NucleicRemote/NucleicRemote/LiveActivityManager.swift

@@ -29,6 +29,15 @@ final class LiveActivityManager {
     /// connectivity, pong, diff ticks…), most of which leave the aggregate identical. Burning the
     /// budget on those is exactly what makes a *real* change land late and the glance read stale.
     private var lastState: NucleicSessionAttributes.ContentState?
+    /// When the last update was applied — the clock for the mid-turn churn refresh. A status change
+    /// (attention-signature shift) updates immediately regardless; a churn-only change (diff totals
+    /// ticking as the agent edits) only re-applies once `churnRefreshInterval` has elapsed, so a busy
+    /// turn refreshes the numbers slowly instead of on every transcript delta. A passive timestamp
+    /// check on the normal path — no timer sits in front of a status update.
+    private var lastPushAt: Date?
+    /// How slowly the mid-turn diff totals refresh while nothing else about a session changes —
+    /// mirrors the host's `SyncHost.churnRefreshInterval` so the local and pushed glances agree.
+    private static let churnRefreshInterval: TimeInterval = 45
     /// The newest state waiting to be applied, and the single task draining it. Coalescing to the
     /// latest through one serial task means the newest data always wins — firing an unstructured
     /// `Task` per `sync` let a later update lose a race to an earlier one and freeze the glance.