fix architecture and write new tests

apps/dashboard/src/lib/dashboardPaths.test.ts

@@ -0,0 +1,22 @@
+import { describe, expect, it } from 'vitest'
+import { toDashboardAppPath, toPublicDashboardPath } from './dashboardPaths'
+
+describe('dashboard path normalization', () => {
+  it('collapses empty and root values to the app root', () => {
+    expect(toDashboardAppPath()).toBe('/')
+    expect(toDashboardAppPath('')).toBe('/')
+    expect(toDashboardAppPath('/')).toBe('/')
+  })
+
+  it('strips repeated dashboard base prefixes', () => {
+    expect(toDashboardAppPath('/dashboard')).toBe('/')
+    expect(toDashboardAppPath('/dashboard/fleet')).toBe('/fleet')
+    expect(toDashboardAppPath('/dashboard/dashboard/reservations')).toBe('/reservations')
+  })
+
+  it('adds the public deployment prefix exactly once', () => {
+    expect(toPublicDashboardPath('/')).toBe('/dashboard')
+    expect(toPublicDashboardPath('/dashboard/fleet')).toBe('/dashboard/fleet')
+    expect(toPublicDashboardPath('customers')).toBe('/dashboard/customers')
+  })
+})