feat: implement url-driven calendar routing and navigation state

[munlicode]

Summary

Transitioned calendar view and date selection states into URL parameters (e.g. /app/calendar/:viewMode/:year/:month/:day), supporting deep-linking and browser navigation.

• URL-Driven State: Refactored header navigation controls to update the URL directly as the single source of truth.
• Route Parsing Fix: Configured calendar routes as sibling leaf routes in routes.ts so React Router can correctly parse wildcard splat params.
• Sync & Slide Guards: Added useRef checks to date/month sync hooks to prevent rendering loops, popover default month resets, and calendar swipe gesture locks.
• Query Range Fix: Prevented the global query effect from overriding visible calendar bounds to a 3-day window during chronological view modes.

Checklist

• I have performed a self-review of my code
• My changes pass all existing tests