Fix FloatBar DPI-aware content sizing

[klken88]

Summary

Describe what changed and why.

Related issue

Fixes #

Affected areas

Check every area this PR changes or could affect:

• Tray panel
• Settings UI
• Config file / settings persistence
• CLI
• Provider-specific behavior
• Installer / release packaging
• Startup / background behavior
• Documentation
• Other:

Validation

Hosted PR check runs on Blacksmith Windows when CI_BUDGET_MODE is not off (see .github/workflows/pr-check.yml and CONTEXT.md). Still run the local slice and list commands/results below. If a check is not relevant, say why.

• powershell.exe -ExecutionPolicy Bypass -NoProfile -File scripts\local-check.ps1
• For full pre-release validation: powershell.exe -ExecutionPolicy Bypass -NoProfile -File scripts\local-check.ps1 -All -Version <version>
• For installer/release changes: powershell.exe -File scripts\windows-release-build.ps1 -Ref <ref> -SmokeInstall
• Thermo-nuclear code quality review completed before submitting: https://github.com/cursor/plugins/blob/main/cursor-team-kit/skills/thermo-nuclear-code-quality-review/SKILL.md
• Other:

UI / tray proof

For UI, tray, settings, or visual behavior changes, use CUA Driver for visual proof. If CUA Driver cannot be used, explain why and attach equivalent manual proof.

• Not applicable
• CUA Driver visual proof attached
• CUA Driver could not be used; equivalent manual proof and explanation attached

Notes for reviewers

Call out risky areas, follow-up work, or anything reviewers should focus on.

---

^{Need help on this PR? Tag @codesmith-bot with what you need. Autofix is enabled.}

[Finesssee]

Thanks for the PR, I will review this.