Is it possible to create a serverless RDS cluster via CDK without NAT Gateway? The NAT Gateway base charge is pretty expensive for a development environment. I'm also not interested in setting up a NAT instance. I'm attaching a Lambda in the VPC with the RDS instance like this.
// VPC
const vpc = new ec2.Vpc(this, 'MyVPC');
// RDS
const dbCluster = new rds.ServerlessCluster(this, 'MyAuroraCluster', {
engine: rds.DatabaseClusterEngine.AURORA_MYSQL,
defaultDatabaseName: 'DbName',
vpc,
});