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I basically want the setup described here <https://www.pulumi.com/blog/managing-your-mysql-databases-with-pulumi/#example-2-using-a-rds-instance>, but without leaving the instance  with  `publiclyAccessible = true` afterwards

Did you ever find a solution to this?  I ran into a similar issue, but am unable to use a lambda in the same VPC because of the note in the bottom of this document:  <https://www.pulumi.com/docs/tutorials/aws/serializing-functions/>

&gt;  Note that `pulumi` will not include `@pulumi/...` packages with the Lambda. These packages exist solely to provide _deployment time_ functionality, and do not contain any code that can work properly at _run time_. They are automatically stripped from a Lambda both to prevent accidental usage and to help reduce the size of the uploaded Lambda.

no, I just used the 'name' parameter to create an initial db