feat(auth): phase 3 — replace Supabase GoTrue with bcryptjs+jose

Custom auth stack: bcryptjs password hashing (cost 10, GoTrue-compatible),
jose JWT session cookies (edge-safe, 8hr TTL), new API routes for
login/logout/reset/change-password, middleware rewritten to JWT-only
verification with no DB access. All 38 protected pages and API routes
migrated from supabase.auth.getUser() to getSession(). Supabase .from()
queries retained for Phase 4. lib/db/index.ts refactored to lazy Proxy
singleton to avoid module-level throw during Next.js build.

tsc: clean, build: clean, tests: 4/4 passed

Co-Authored-By: Claude Sonnet 4.6 <noreply@anthropic.com>

app/(protected)/hse/capa/page.tsx

@@ -3,12 +3,14 @@ export const dynamic = 'force-dynamic'
 import { redirect } from 'next/navigation'
 import Link from 'next/link'
 import { createClient } from '@/lib/supabase/server'
+import { getSession } from '@/lib/auth/get-session'
 import { CapaBoard } from '@/components/capa/capa-board'
 
 export default async function CapaListPage() {
+  const session = await getSession()
+  if (!session) redirect('/login?redirect=/hse/capa')
+
   const supabase = await createClient()
-  const { data, error: authError } = await supabase.auth.getUser()
-  if (authError || !data?.user) redirect('/login?redirect=/hse/capa')
 
   const { data: capas } = await supabase
     .from('capa_actions')