feat(permissions): use target-specific input access

[esphynox]

Summary

• Use Input Monitoring exclusively in App Store builds and Accessibility exclusively in non-App-Store builds.
• Update input capture, Settings, onboarding, deep links, and badge counts to use the required permission for the active target.
• Document the target-specific setup and recovery steps.

Tests

• tuist generate
• xcodebuild test -project Keyty.xcodeproj -scheme Keyty -destination 'platform=macOS'
• Other: built Keyty (Debug) and Keyty AppStore (AppStore); ran 29 focused permission and capture tests.

Run project commands from Apps/Keyty.

UI Changes

Permissions Settings and onboarding now display only the one permission required by the active target; the sidebar badge reports at most one missing permission.

Non App-Store	App Store

Documentation

• Updated relevant docs
• No docs needed

Release Notes

App Store builds now request Input Monitoring, while non-App-Store builds request Accessibility. The Permissions interface shows only the permission required by the active build.