[codex] improve issue and routine UI responsiveness (#3744)

## Thinking Path

> - Paperclip orchestrates AI agents for zero-human companies
> - Operators rely on issue, inbox, and routine views to understand what
the company is doing in real time
> - Those views need to stay fast and readable even when issue lists,
markdown comments, and run metadata get large
> - The current branch had a coherent set of UI and live-update
improvements spread across issue search, issue detail rendering, routine
affordances, and workspace lookups
> - This pull request groups those board-facing changes into one
standalone branch that can merge independently of the heartbeat/runtime
work
> - The benefit is a faster, clearer issue and routine workflow without
changing the underlying task model

## What Changed

- Show routine execution issues by default and rename the filter to
`Hide routine runs` so the default state no longer looks like an active
filter.
- Show the routine name in the run dialog and tighten the issue
properties pane with a workspace link, copy-on-click behavior, and an
inline parent arrow.
- Reduce issue detail rerenders, keep queued issue chat mounted, improve
issues page search responsiveness, and speed up issues first paint.
- Add inbox "other search results", refresh visible issue runs after
status updates, and optimize workspace lookups through summary-mode
execution workspace queries.
- Improve markdown wrapping and scrolling behavior for long strings and
self-comment code blocks.
- Relax the markdown sanitizer assertion so the test still validates
safety after the new wrap-friendly inline styles.

## Verification

- `pnpm vitest run ui/src/components/IssuesList.test.tsx
ui/src/lib/inbox.test.ts ui/src/pages/Issues.test.tsx
ui/src/context/BreadcrumbContext.test.tsx
ui/src/context/LiveUpdatesProvider.test.ts
ui/src/components/MarkdownBody.test.tsx
ui/src/api/execution-workspaces.test.ts
server/src/__tests__/execution-workspaces-routes.test.ts`

## Risks

- This touches several issue-facing UI surfaces at once, so regressions
would most likely show up as stale rendering, search result mismatches,
or small markdown presentation differences.
- The workspace lookup optimization depends on the summary-mode route
shape staying aligned between server and UI.

## Model Used

- OpenAI Codex, GPT-5-based coding agent in the Codex CLI environment.
Exact backend model deployment ID was not exposed in-session.
Tool-assisted editing and shell execution were used.

## 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 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/api/execution-workspaces.test.ts

@@ -0,0 +1,29 @@
+import { beforeEach, describe, expect, it, vi } from "vitest";
+
+const mockApi = vi.hoisted(() => ({
+  get: vi.fn(),
+}));
+
+vi.mock("./client", () => ({
+  api: mockApi,
+}));
+
+import { executionWorkspacesApi } from "./execution-workspaces";
+
+describe("executionWorkspacesApi.listSummaries", () => {
+  beforeEach(() => {
+    mockApi.get.mockReset();
+    mockApi.get.mockResolvedValue([]);
+  });
+
+  it("requests the lightweight summary payload", async () => {
+    await executionWorkspacesApi.listSummaries("company-1", {
+      projectId: "project-1",
+      reuseEligible: true,
+    });
+
+    expect(mockApi.get).toHaveBeenCalledWith(
+      "/companies/company-1/execution-workspaces?projectId=project-1&reuseEligible=true&summary=true",
+    );
+  });
+});

ui/src/api/execution-workspaces.ts

@@ -1,5 +1,6 @@
 import type {
   ExecutionWorkspace,
+  ExecutionWorkspaceSummary,
   ExecutionWorkspaceCloseReadiness,
   WorkspaceOperation,
   WorkspaceRuntimeControlTarget,
@@ -8,6 +9,28 @@ import { api } from "./client";
 import { sanitizeWorkspaceRuntimeControlTarget } from "./workspace-runtime-control";
 
 export const executionWorkspacesApi = {
+  listSummaries: (
+    companyId: string,
+    filters?: {
+      projectId?: string;
+      projectWorkspaceId?: string;
+      issueId?: string;
+      status?: string;
+      reuseEligible?: boolean;
+    },
+  ) => {
+    const params = new URLSearchParams();
+    if (filters?.projectId) params.set("projectId", filters.projectId);
+    if (filters?.projectWorkspaceId) params.set("projectWorkspaceId", filters.projectWorkspaceId);
+    if (filters?.issueId) params.set("issueId", filters.issueId);
+    if (filters?.status) params.set("status", filters.status);
+    if (filters?.reuseEligible) params.set("reuseEligible", "true");
+    params.set("summary", "true");
+    const qs = params.toString();
+    return api.get<ExecutionWorkspaceSummary[]>(
+      `/companies/${companyId}/execution-workspaces${qs ? `?${qs}` : ""}`,
+    );
+  },
   list: (
     companyId: string,
     filters?: {