[codex] cache profile analyses

[saurabhhhcodes]

What changed

• Added an SWR-backed fetch layer for profile analyses so repeated navigations reuse cached responses instead of refetching GitHub data every mount.
• Moved the API call into a shared helper that normalizes errors, handles the star-gate response, and supports force refreshes.
• Wired the existing refresh buttons through the cached mutate path so manual refreshes update the same cache entry.

Why

• This issue calls out repeated GitHub API requests. The profile page was doing a local fetch in the client component on remount, so the same username could trigger the analysis again even when the app already had the result.

Validation

• npm run lint
• npm run build (passed after supplying the repo's required local environment variables)

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