iOS Live Activity Updates

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

NucleicRemote/NucleicRemote/LiveActivityManager.swift

@@ -136,8 +136,18 @@ final class LiveActivityManager {
     /// totals on every transcript edit but no status) doesn't spend ActivityKit's update budget. The
     /// fresh churn still rides along on the next status-driven push.
     private func push(_ state: NucleicSessionAttributes.ContentState, hostName: String) {
-        guard state.attentionSignature != lastState?.attentionSignature else { return }
+        // Apply immediately when the attention signature shifts (start/finish/approval/input — the
+        // alert-worthy changes). Otherwise the only difference is mid-turn churn (diff totals); let
+        // that refresh on a slow cadence so it stays roughly current without spending ActivityKit's
+        // budget on every delta. Elapsed-time gate, not a sleeping timer — a status change is never
+        // held behind it.
+        let signatureChanged = state.attentionSignature != lastState?.attentionSignature
+        let churnRefreshDue = lastPushAt.map {
+            Date().timeIntervalSince($0) >= Self.churnRefreshInterval
+        } ?? true
+        guard signatureChanged || (state != lastState && churnRefreshDue) else { return }
         lastState = state
+        lastPushAt = Date()
 
         guard let activity else {
             // Recover an Activity that survived an app relaunch before starting a new one; the