chore: add root startup scripts

start-backend.ps1

@@ -0,0 +1,27 @@
+param(
+  [string]$DatabaseUrl = "postgres://postgres:postgres%402025%21@10.0.0.2:5432/termi-api_development"
+)
+
+$ErrorActionPreference = "Stop"
+
+$repoRoot = Split-Path -Parent $MyInvocation.MyCommand.Path
+$backendDir = Join-Path $repoRoot "backend"
+
+if (-not (Test-Path $backendDir)) {
+  throw "Backend directory not found: $backendDir"
+}
+
+Push-Location $backendDir
+
+try {
+  $env:DATABASE_URL = $DatabaseUrl
+  Write-Host "[backend] DATABASE_URL set to $DatabaseUrl" -ForegroundColor Cyan
+  Write-Host "[backend] Starting Loco.rs server..." -ForegroundColor Green
+  cargo loco start 2>&1
+  if ($LASTEXITCODE -ne 0) {
+    throw "cargo loco start failed"
+  }
+}
+finally {
+  Pop-Location
+}