feat(code): use user GitHub integrations for cloud tasks

[tatoalo]

Problem

cloud task creation and handoff should use the user's linked GitHub identity instead of relying on a local gh token or the project gh integration. This keeps PR authorship tied to the user who starts the task and works for Code-created and handoff-created cloud runs

Before:

After:

[greptile-apps]

Comments Outside Diff (1)

1. apps/code/src/renderer/hooks/useIntegrations.ts, line 1051-1053 (link)

   Superfluous useEffect — no-op on mount

   This effect resets requestedLimit to REPOSITORIES_PAGE_SIZE, but useState(REPOSITORIES_PAGE_SIZE) already initialises the state to that value. The effect fires once on mount and writes the same value that is already there, so it has no observable effect and can be removed.

   Prompt To Fix With AI

   This is a comment left during a code review.
   Path: apps/code/src/renderer/hooks/useIntegrations.ts
   Line: 1051-1053
   
   Comment:
   **Superfluous `useEffect` — no-op on mount**
   
   This effect resets `requestedLimit` to `REPOSITORIES_PAGE_SIZE`, but `useState(REPOSITORIES_PAGE_SIZE)` already initialises the state to that value. The effect fires once on mount and writes the same value that is already there, so it has no observable effect and can be removed.
   
   How can I resolve this? If you propose a fix, please make it concise.

Prompt To Fix All With AI

Fix the following 1 code review issue. Work through them one at a time, proposing concise fixes.

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### Issue 1 of 1
apps/code/src/renderer/hooks/useIntegrations.ts:1051-1053
**Superfluous `useEffect` — no-op on mount**

This effect resets `requestedLimit` to `REPOSITORIES_PAGE_SIZE`, but `useState(REPOSITORIES_PAGE_SIZE)` already initialises the state to that value. The effect fires once on mount and writes the same value that is already there, so it has no observable effect and can be removed.

_{Reviews (1): Last reviewed commit: "feat(code): use user github integrations..." | Re-trigger Greptile}