The Sentry integration for Asana is currently broken and is not available to install on new Sentry projects.
If I understand correctly, this is because the existing integration was built on what Sentry’s legacy integration platform, which is deprecated, and it’s on Asana to build a new integration.
I think your best bet might be to report this to Support and ask them about the potential for an update to the integration or, at a minimum, updating the listing. See How to contact our Support Team.
For anyone else who comes across this thread looking for the current status of the Sentry<>Asana integration, I reached out to Asana support and they’ve said that it’s Sentry’s responsibility to create the integration, but in that GitHub issue that I’ve linked, Sentry has said it’s Asana’s responsibility.