fix(ai-client): reset live yield on ignored terminals and clear()

Clear hidden-burst accounting when cleared-stream RUN_FINISHED/RUN_ERROR
is ignored, and when clear() drops remote active runs without canceling a
local stream, so mid-burst state cannot leak into the next live run.

Author: harish-build

packages/ai-client/src/chat-client.ts

@@ -1561,6 +1561,11 @@ export class ChatClient<
         }
         this.retireIgnoredClearedTerminalChunk(chunk)
         this.resolveJoinedRun(chunk)
+        // Cleared-stream terminals skip the live yield/reset path below.
+        // Still clear hidden-burst accounting so a mid-burst counter cannot
+        // leak into the next real live stream (e.g. clear() while only
+        // observing a remote run, which may not call cancelInFlightStream).
+        this.liveChunkYield.reset()
       }
       return
     }
@@ -2291,6 +2296,9 @@ export class ChatClient<
       this.cancelInFlightStream({ setReadyStatus: true })
       this.resetSessionGenerating({ preserveClearedStreamTracking: true })
     } else if (this.activeRunIds.size > 0) {
+      // Remote/observe-only: no local abortController, so cancelInFlightStream
+      // did not run — still drop hidden-burst accounting for the next stream.
+      this.liveChunkYield.reset()
       this.resetSessionGenerating({ preserveClearedStreamTracking: true })
     }
     // Suppress persisting the empty snapshot that clearMessages emits, then