WIP: root background loops at context.Background() (refs #97)

Incomplete: tests pass but three lint findings remain (funcorder on
registerHooks, unparam in engine_integration_test.go). Committed to
preserve work in progress; to be amended into a single clean commit.

internal/delivery/engine.go

@@ -149,9 +149,20 @@ func New(
 		Transport: NewSSRFSafeTransport(),
 	})
 
+	e.registerHooks(lc)
+
+	return e
+}
+
+// registerHooks wires the engine's start and stop into the fx
+// lifecycle. The start hook's context is deliberately ignored:
+// see start for why the worker pool must not inherit it.
+func (e *Engine) registerHooks(lc fx.Lifecycle) {
 	lc.Append(fx.Hook{
-		OnStart: func(ctx context.Context) error {
-			e.start(ctx)
+		//nolint:contextcheck // Not inheriting the hook context
+		// is the point: see start.
+		OnStart: func(_ context.Context) error {
+			e.start()
 
 			return nil
 		},
@@ -161,8 +172,6 @@ func New(
 			return nil
 		},
 	})
-
-	return e
 }
 
 // Notify signals the delivery engine that new deliveries
@@ -210,8 +219,20 @@ func (e *Engine) ScheduleRetry(
 	})
 }
 
-func (e *Engine) start(ctx context.Context) {
-	ctx, cancel := context.WithCancel(ctx)
+// start launches the worker pool, restart recovery, and the
+// periodic retry sweep.
+//
+// Their context is derived from context.Background(), NOT from
+// the fx OnStart hook context. The hook context carries fx's
+// start timeout (15s by default) and is cancelled once the start
+// phase completes, so goroutines derived from it stop a few
+// seconds into the process: every worker would return and the
+// engine would silently stop delivering webhooks entirely. A
+// long-lived goroutine must outlive the startup phase, so its
+// lifetime is bounded by OnStop instead: stop cancels this
+// context and waits on the WaitGroup.
+func (e *Engine) start() {
+	ctx, cancel := context.WithCancel(context.Background())
 	e.cancel = cancel
 
 	for range e.workers {