[codex] Add workspace routine run tab (#4958)

## Thinking Path

> - Paperclip orchestrates AI agents through reusable execution
workspaces and routines
> - Operators need a fast way to run workspace-aware routines against a
specific execution workspace
> - The existing workspace detail surface showed configuration, runtime
logs, and linked issues, but not routines that depend on workspace
variables
> - Routine runs also needed to prefill the selected execution workspace
so branch variables resolve correctly
> - This pull request adds a workspace routines tab and prefilled
routine-run dialog support
> - The benefit is a tighter workflow for rerunning reviews, smoke
checks, and other workspace-specific routines

## What Changed

- Added an execution workspace `Routines` tab and company-prefixed
routes.
- Listed routines that declare or reference workspace-specific
variables.
- Added `Run now` support that preselects the current execution
workspace in `RoutineRunVariablesDialog`.
- Centralized reusable execution workspace ordering/deduplication for
issue creation and workspace cards.
- Added focused UI helper and dialog regression tests.

## Verification

- `pnpm exec vitest run ui/src/lib/reusable-execution-workspaces.test.ts
ui/src/lib/workspace-routines.test.ts
ui/src/components/RoutineRunVariablesDialog.test.tsx
ui/src/lib/company-routes.test.ts`
- Screenshots were not captured in this PR split; the visible flow is
covered by focused component/helper tests and should get browser QA in
the follow-up issue.

## Risks

- Medium risk: this adds a new workspace detail tab and routine-run
path. It is isolated to workspace-scoped routines and uses existing
routine run APIs.

> For core feature work, check [`ROADMAP.md`](ROADMAP.md) first and
discuss it in `#dev` before opening the PR. Feature PRs that overlap
with planned core work may need to be redirected — check the roadmap
first. See `CONTRIBUTING.md`.

## Model Used

- OpenAI Codex, GPT-5 coding agent, tool use and local command
execution. Exact context window was not exposed in the runtime.

## Checklist

- [x] I have included a thinking path that traces from project context
to this change
- [x] I have specified the model used (with version and capability
details)
- [x] I have checked ROADMAP.md and confirmed this PR does not duplicate
planned core work
- [x] I have run tests locally and they pass
- [x] I have added or updated tests where applicable
- [ ] If this change affects the UI, I have included before/after
screenshots
- [x] I have updated relevant documentation to reflect my changes
- [x] I have considered and documented any risks above
- [x] I will address all Greptile and reviewer comments before
requesting merge

---------

Co-authored-by: Paperclip <noreply@paperclip.ing>

ui/src/lib/reusable-execution-workspaces.test.ts

@@ -0,0 +1,82 @@
+import { describe, expect, it } from "vitest";
+import { orderReusableExecutionWorkspaces, type ReusableExecutionWorkspaceLike } from "./reusable-execution-workspaces";
+
+function workspace(overrides: Partial<ReusableExecutionWorkspaceLike>): ReusableExecutionWorkspaceLike {
+  return {
+    id: overrides.id ?? "workspace-id",
+    name: overrides.name ?? "Workspace",
+    cwd: overrides.cwd ?? null,
+    lastUsedAt: overrides.lastUsedAt ?? "2026-01-01T00:00:00.000Z",
+  };
+}
+
+describe("orderReusableExecutionWorkspaces", () => {
+  it("puts the most recently used workspace first and sorts the rest alphabetically", () => {
+    const workspaces = [
+      workspace({ id: "charlie", name: "Charlie", lastUsedAt: "2026-01-03T00:00:00.000Z" }),
+      workspace({ id: "zulu", name: "Zulu", lastUsedAt: "2026-01-05T00:00:00.000Z" }),
+      workspace({ id: "alpha", name: "Alpha", lastUsedAt: "2026-01-01T00:00:00.000Z" }),
+      workspace({ id: "bravo", name: "Bravo", lastUsedAt: "2026-01-04T00:00:00.000Z" }),
+    ];
+
+    expect(orderReusableExecutionWorkspaces(workspaces).map((item) => item.id)).toEqual([
+      "zulu",
+      "alpha",
+      "bravo",
+      "charlie",
+    ]);
+  });
+
+  it("keeps only the latest used workspace for duplicate paths before sorting", () => {
+    const workspaces = [
+      workspace({
+        id: "older-duplicate",
+        name: "Older duplicate",
+        cwd: "/tmp/shared",
+        lastUsedAt: "2026-01-01T00:00:00.000Z",
+      }),
+      workspace({ id: "beta", name: "Beta", cwd: "/tmp/beta", lastUsedAt: "2026-01-02T00:00:00.000Z" }),
+      workspace({
+        id: "newer-duplicate",
+        name: "Newer duplicate",
+        cwd: "/tmp/shared",
+        lastUsedAt: "2026-01-04T00:00:00.000Z",
+      }),
+      workspace({ id: "alpha", name: "Alpha", cwd: "/tmp/alpha", lastUsedAt: "2026-01-03T00:00:00.000Z" }),
+    ];
+
+    expect(orderReusableExecutionWorkspaces(workspaces).map((item) => item.id)).toEqual([
+      "newer-duplicate",
+      "alpha",
+      "beta",
+    ]);
+  });
+
+  it("does not let updatedAt churn outrank the last used workspace", () => {
+    type WorkspaceWithUpdatedAt = ReusableExecutionWorkspaceLike & { updatedAt: Date | string };
+    const workspaces: WorkspaceWithUpdatedAt[] = [
+      {
+        ...workspace({
+          id: "recently-used",
+          name: "Recently used",
+          cwd: "/tmp/shared",
+          lastUsedAt: "2026-01-04T00:00:00.000Z",
+        }),
+        updatedAt: "2026-01-01T00:00:00.000Z",
+      },
+      {
+        ...workspace({
+          id: "recently-updated",
+          name: "Recently updated",
+          cwd: "/tmp/shared",
+          lastUsedAt: "2026-01-01T00:00:00.000Z",
+        }),
+        updatedAt: "2026-01-05T00:00:00.000Z",
+      },
+    ];
+
+    expect(orderReusableExecutionWorkspaces(workspaces).map((item) => item.id)).toEqual([
+      "recently-used",
+    ]);
+  });
+});