refactor(core-trpc): make the tRPC context router-agnostic

Ports the type-safety/ergonomics half of the upstream cycle-break: core-trpc
no longer imports AppRouter from @repo/core-api (an illegal
core -> core-composition boundary edge). The runtime context and both
providers are now AnyTRPCRouter-generic; consumers inject their router type
via useTRPC<TRouter>().

Our tree is already cycle-free (the demo features that closed the cycle are
deleted and no kept feature depends on core-trpc), so this is purely the
architecture/boundary improvement. The per-feature app-slice types the
upstream commit added for blog/marketing-pages/navigation are intentionally
skipped: no kept feature consumes useTRPC yet, so there is nothing to type,
and adding slice types now would be speculative.

Co-Authored-By: Claude Opus 4.8 <noreply@anthropic.com>
Claude-Session: https://claude.ai/code/session_016j8z4VHjedXDTjEDNg7qHK

packages/core-trpc/package.json

@@ -15,7 +15,6 @@
     "test": "vitest run --passWithNoTests"
   },
   "dependencies": {
-    "@repo/core-api": "workspace:*",
     "@tanstack/react-query": "^5.66.0",
     "@trpc/client": "^11.18.0",
     "@trpc/server": "^11.18.0",