feat: return completed handoffs to Agent Chat (#14408)

Return completed Agent Chat handoffs through a durable outbox and scope each generated update to its supplied tasks. Add recovery, browser delivery, result access, and calibrated quality coverage.

Validated with two consecutive ten-case Claude/Codex campaigns, all CI checks, and a 5/5 review.

Co-Authored-By: Paperclip <noreply@paperclip.ing>

server/src/modules/run-dispatch/adapters/postgres.ts

@@ -18,6 +18,7 @@ import { ISSUE_DISPOSITION_REPAIR_RETRY_REASON } from "@paperclipai/shared";
 import { parseObject } from "../../../adapters/utils.js";
 import { evaluateAgentInvokabilityFromDb } from "../../../services/agent-invokability.js";
 import { budgetService } from "../../../services/budgets.js";
+import { isCompletedOnboardingHandoffWake } from "../../../services/chat-completion-delivery.js";
 import { isHeartbeatWakeOnDemandEnabled } from "../../../services/heartbeat-policy.js";
 import { collectDispositionRepairSourceState } from "../../../services/recovery/disposition-repair.js";
 import { legacyDispositionEpisode, legacyDispositionFingerprint } from "../../../services/recovery/legacy-continuation.js";
@@ -608,6 +609,10 @@ export function createPostgresRunDispatchAdapter(
       isNonAssigneeWorkspaceBusyRetry: isNonAssigneeWorkspaceBusyRetry(retryReason, context),
       resumeIntent,
       wakeCommentIdPresent: Boolean(wakeCommentId),
+      isCompletedOnboardingHandoffWake: await isCompletedOnboardingHandoffWake(dbOrTx, {
+        companyId: input.companyId, issueId, agentId: input.agentId,
+        reason: wakeReason, contextSnapshot: context,
+      }),
       continuationParkApplies,
       continuationParksExecutor,
       continuationSummaryBody,