Fix profile name update persistence

Replace placeholder implementation with proper API integration:
- Create /api/user/profile PUT endpoint with JWT validation
- Update profile page to call actual API instead of setTimeout
- Use refreshUser() to update UI immediately after changes
- Ensure name changes persist to database and across page refreshes

🤖 Generated with [Claude Code](https://claude.ai/code)

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

app/api/user/profile/route.ts

@@ -0,0 +1,82 @@
+import { NextResponse } from 'next/server'
+import { getUserFromToken } from '@/lib/auth'
+import { prisma } from '@/lib/db'
+
+export const runtime = 'nodejs'
+
+function getErrorMessages(locale: string = 'ro') {
+  const messages = {
+    ro: {
+      unauthorized: 'Nu esti autentificat',
+      nameRequired: 'Numele este obligatoriu',
+      updateFailed: 'Actualizarea a eșuat',
+      success: 'Profil actualizat cu succes'
+    },
+    en: {
+      unauthorized: 'Unauthorized',
+      nameRequired: 'Name is required',
+      updateFailed: 'Update failed',
+      success: 'Profile updated successfully'
+    }
+  }
+  return messages[locale as keyof typeof messages] || messages.ro
+}
+
+export async function PUT(request: Request) {
+  try {
+    const url = new URL(request.url)
+    const locale = url.searchParams.get('locale') || 'ro'
+    const messages = getErrorMessages(locale)
+
+    // Get token from authorization header
+    const authHeader = request.headers.get('authorization')
+    const token = authHeader?.replace('Bearer ', '')
+
+    if (!token) {
+      return NextResponse.json({ error: messages.unauthorized }, { status: 401 })
+    }
+
+    // Verify token and get user
+    const user = await getUserFromToken(token)
+
+    if (!user) {
+      return NextResponse.json({ error: messages.unauthorized }, { status: 401 })
+    }
+
+    // Parse request body
+    const { name } = await request.json()
+
+    // Validate input
+    if (!name || typeof name !== 'string' || name.trim().length === 0) {
+      return NextResponse.json({ error: messages.nameRequired }, { status: 400 })
+    }
+
+    // Update user profile using raw query
+    await prisma.$executeRaw`
+      UPDATE "User"
+      SET name = ${name.trim()}, "updatedAt" = CURRENT_TIMESTAMP
+      WHERE id = ${user.id}
+    `
+
+    // Get updated user data
+    const updatedUsers = await prisma.$queryRaw`
+      SELECT id, email, name, role, theme, "fontSize", "createdAt", "updatedAt", "lastLoginAt"
+      FROM "User"
+      WHERE id = ${user.id}
+    `
+    const updatedUser = Array.isArray(updatedUsers) && updatedUsers.length > 0 ? updatedUsers[0] : null
+
+    return NextResponse.json({
+      message: messages.success,
+      user: updatedUser
+    })
+
+  } catch (error) {
+    console.error('Profile update error:', error)
+    const url = new URL(request.url)
+    const locale = url.searchParams.get('locale') || 'ro'
+    const messages = getErrorMessages(locale)
+
+    return NextResponse.json({ error: messages.updateFailed }, { status: 500 })
+  }
+}