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Definitely do-able, Google wrote a blog about how to do exactly that on the GCP Cloud Shell a while back so not unreasonable to do the same on AWS:

https://medium.com/google-cloud/how-to-run-visual-studio-cod...

And Hashicorp have one on using Terraform from GCP Cloud Shell:

https://www.hashicorp.com/blog/kickstart-terraform-on-gcp-wi...

... or once you're in there, ssh out to create a tunnel you can proxy heavy network traffic through on their dime? :D

(Note: I'm sure they would catch this and it would either be a policy violation that gets you shut down or they would just know how to bill you for it)

It gives you sudo access so you can install anything. Although you don't need root to "install" Terraform, you can just download the binary and run it from ${HOME} or wherever.

Never say never! https://www.youtube.com/watch?v=6ELkGqSCWYc