Resolve the remaining client type errors and the trip.title navbar bug

Drive the client typecheck to zero without any/ts-ignore: convert the tripId route param to a number once at the page boundary so it matches the numeric props and store actions it feeds, fix trip.name -> trip.title (the wire field is title, so the old read rendered blank in the files/offline views), and tighten the scattered handler-arity, DOM-cast and untyped-payload sites. No runtime behaviour change.

client/tests/integration/hooks/useRouteCalculation.test.ts

@@ -26,10 +26,15 @@ function buildMockStore(assignments: Record<string, ReturnType<typeof buildAssig
 
 const MOCK_SEGMENTS: RouteSegment[] = [
   {
+    mid: [48.5, 2.5],
+    from: [48.86, 2.35],
+    to: [48.21, 16.37],
     distance: 343000,
     duration: 12600,
     distanceText: '343 km',
     durationText: '3 h 30 min',
+    walkingText: '70 h',
+    drivingText: '3 h 30 min',
   },
 ];