[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>

packages/shared/src/index.ts

@@ -224,6 +224,7 @@ export type {
   ProjectGoalRef,
   ProjectWorkspace,
   ExecutionWorkspace,
+  ExecutionWorkspaceSummary,
   ExecutionWorkspaceConfig,
   ExecutionWorkspaceCloseAction,
   ExecutionWorkspaceCloseActionKind,

packages/shared/src/types/index.ts

@@ -63,6 +63,7 @@ export type { AssetImage } from "./asset.js";
 export type { Project, ProjectCodebase, ProjectCodebaseOrigin, ProjectGoalRef, ProjectWorkspace } from "./project.js";
 export type {
   ExecutionWorkspace,
+  ExecutionWorkspaceSummary,
   ExecutionWorkspaceConfig,
   ExecutionWorkspaceCloseAction,
   ExecutionWorkspaceCloseActionKind,

packages/shared/src/types/workspace-runtime.ts

@@ -161,6 +161,13 @@ export interface IssueExecutionWorkspaceSettings {
   workspaceRuntime?: Record<string, unknown> | null;
 }
 
+export interface ExecutionWorkspaceSummary {
+  id: string;
+  name: string;
+  mode: Exclude<ExecutionWorkspaceMode, "inherit" | "reuse_existing" | "agent_default"> | "adapter_managed" | "cloud_sandbox";
+  projectWorkspaceId: string | null;
+}
+
 export interface ExecutionWorkspace {
   id: string;
   companyId: string;