dev: run sqlx migrations in dev-start

scripts/dev-start.ps1

@@ -72,6 +72,17 @@ for ($i = 0; $i -lt $maxWait; $i++) {
     Start-Sleep -Seconds 1
 }
 
+Write-Host "Running database migrations..."
+Push-Location (Join-Path $root 'backend')
+try {
+    sqlx migrate run
+    if ($LASTEXITCODE -ne 0) {
+        throw "Failed to run database migrations (sqlx migrate run)."
+    }
+} finally {
+    Pop-Location
+}
+
 # Start backend
 Write-Host "Starting backend..."
 $backend = Start-Process -FilePath 'cmd.exe' `