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gsxdsm f68775a5a6 FN-6376: preserve user-paused tasks during recovery

Ensure automated resume and recovery paths leave user-paused tasks paused.

- Skip user-paused tasks when cascading agent resume and approval-decision unpauses.
- Preserve userPaused during stuck-task recovery and log skipped recoveries for user-paused tasks.
- Add regression coverage across engine heartbeat, self-healing, and dashboard route surfaces.
- Document the invariant and add a patch changeset.

Files changed:
 .changeset/fn-6376-user-paused-stays-paused.md     |  5 ++++
 docs/architecture.md                               |  1 +
 .../src/__tests__/routes-agent-runs.test.ts        |  4 +++
 .../src/__tests__/routes-approval.test.ts          | 26 +++++++++++++++--
 .../src/routes/register-agent-runtime-routes.ts    |  2 +-
 .../src/routes/register-approval-routes.ts         |  2 +-
 .../src/__tests__/heartbeat-executor.test.ts       | 28 ++++++++++++++++++
 packages/engine/src/__tests__/self-healing.test.ts | 33 +++++++++++++++++++++-
 packages/engine/src/agent-heartbeat.ts             |  3 +-
 packages/engine/src/self-healing.ts                | 12 ++++++--
 10 files changed, 108 insertions(+), 8 deletions(-)

Fusion-Task-Id: FN-6376
Fusion-Task-Lineage: efa00cb1-58e1-496a-919b-69867f8bff3c

2026-06-13 10:44:01 -07:00