refactor: apply repository naming contract

Apply the accepted pre-release package, service, type, directory, and role renames as one repository-wide change.

packages/shell/tool-bash/src/background.ts

@@ -0,0 +1,27 @@
+/**
+ * Generic-task adaptation for background bash process handles.
+ *
+ * @module @deepseek-ai/dsh-tool-bash/background
+ */
+
+import type { ShellProcess } from '@deepseek-ai/dsh-shell'
+
+/**
+ * Map a settled background process onto the generic task-outcome vocabulary:
+ * `killed` stays `killed` (detail: the signal when one is known), everything
+ * else is `completed` with the exit code as detail. A nonzero command exit is
+ * reported, not failed, exactly like the foreground rendering.
+ * @param proc - the settled process handle.
+ * @returns the outcome for the `ctx.jobs` registration.
+ */
+export function processOutcome(proc: ShellProcess): { status: 'completed' | 'killed'; detail: string } {
+  // TODO(background-infrastructure-outcome): widen ShellProcess with an explicit
+  // infrastructure-failure outcome, then map it to task `failed`. Restricted
+  // runner failures expose sandbox.runnerFailed, but unconfined spawn failures
+  // still alias a signal-less kill; real nonzero command exits must remain
+  // `completed`.
+  if (proc.status === 'killed') {
+    return { status: 'killed', detail: proc.signal !== null ? `signal: ${proc.signal}` : 'killed before exit' }
+  }
+  return { status: 'completed', detail: `exit code: ${proc.exitCode ?? 0}` }
+}