Root background loops at context.Background() (closes #97) (#100)

The delivery engine worker pool and the retention reaper both rooted their
goroutines in the fx OnStart hook context, which fx cancels 15s into startup.
Both now use context.WithCancel(context.Background()), bounded by OnStop.

TODO.md

@@ -28,6 +28,12 @@ databases currently grow without bound.
 
 # Completed Steps
 
+- 2026-08-09 Root the delivery engine's worker pool and the retention
+  reaper's sweep loop at `context.Background()` rather than the fx
+  `OnStart` hook context (#97), which carries fx's 15s start timeout and
+  killed both roughly fifteen seconds after boot: the proxy silently
+  stopped delivering webhooks entirely, and the reaper never ran a
+  single sweep under its default one-hour interval
 - 2026-08-07 Update golangci-lint to v2.12.2 (Docker image digest in
   `Dockerfile`, release-archive sha256 pins in `script/bootstrap`),
   adopt the canonical `.golangci.yml` (v2 `linters.settings` layout so