[BUG] Desktop: dismissed "Approaching usage limit" banner reappears every time I switch sessions

Preflight Checklist

• [x] I have searched existing issues and this hasn't been reported yet
• [x] This is a single bug report
• [x] I am using the latest version of Claude Code

What's Wrong?

In Claude Code Desktop, the "Approaching usage limit" banner with an "Upgrade" link appears above the input. Clicking the × dismisses it for the current session view, but as soon as I switch to another session in the same app launch, the banner is back. Switch back to the original session — also back. Every session switch resurfaces it.

So in practice the dismiss button does nothing useful: any normal multi-session workflow re-surfaces the banner constantly. I'm dismissing the same banner ten or more times per work session.

What Should Happen?

Dismissing the banner via × should persist across session switches (and ideally across app relaunches) until the user actually crosses a higher threshold or the weekly window resets. At minimum, dismissing it should hold for the lifetime of the current app process.

Steps to Reproduce

1. Open Claude Code Desktop with the "Approaching usage limit" banner visible.
2. Click × to dismiss it. Banner disappears.
3. Switch to another open session (sidebar / session switcher).
4. Switch back — banner has reappeared.

Claude Code Version

Claude Code Desktop (latest as of 2026-05-04)

Platform

Anthropic API (Max plan)

Operating System

macOS

Terminal/Shell

N/A — Desktop app

Additional Information

Related issues:

• #41822 — Open enhancement request for a configurable warning threshold. Different ask (threshold configurability vs. dismiss persistence).
• #50558 — Closed as duplicate of #41822 and now locked. Documented the same dismiss-doesn't-persist behavior in the CLI ("Problem 2"), but #41822 doesn't actually track that part — it's only about thresholds. So the dismiss-persistence bug got buried when #50558 was closed.
• #51550 — Open. Same Desktop banner, but a different problem: false-positive triggering and the nonsensical "Upgrade" CTA on Max (20x). Doesn't cover dismiss-state behavior.

This issue is intentionally narrow: just the dismiss-state-not-persisting-across-session-switches behavior in Desktop. Even if the trigger threshold and CTA bugs are fixed, this would still be broken.