Simplify strategy switch auth controls

[Pigbibi]

Summary

• replace the main page login management link with simple sign-in/status/sign-out controls
• stop exposing the admin page from the daily strategy switch console
• keep public/static pages browse-only by hiding login controls when no Worker session API is available

Tests

• python3 scripts/sync_strategy_switch_page_asset.py
• node --check --input-type=module < web/strategy-switch-console/page_asset.js
• node --check --input-type=module < web/strategy-switch-console/worker.js
• git diff --check
• page asset regeneration stability check

[chatgpt-codex-connector]

💡 Codex Review

Here are some automated review suggestions for this pull request.

Reviewed commit: fb00adc565

ℹ️ About Codex in GitHub

Your team has set up Codex to review pull requests in this repo. Reviews are triggered when you

• Open a pull request for review
• Mark a draft as ready
• Comment "@codex review".

If Codex has suggestions, it will comment; otherwise it will react with 👍.

Codex can also answer questions or update the PR. Try commenting "@codex address that feedback".

[chatgpt-codex-connector]

Preserve hidden auth controls

The new auth controls rely on the hidden attribute, but these elements also match .pill/.btn, whose author CSS sets display: inline-flex; that can override the browser's [hidden] display rule, so the later *.hidden = ... toggles do not reliably hide them. In the static/GitHub Pages fallback this leaves Sign in/Sign out controls visible even though /api/session is unavailable, and on the Worker the inactive auth action can appear beside the active one. Add an explicit [hidden] { display: none !important; } rule or toggle a class that wins.

Useful? React with 👍 / 👎.