Drop `actions-rs/audit-check` action and use `EmbarkStudios/cargo-deny-action` action to check for rust-sec advisories

[john-h-kastner-aws]

Describe the improvement you'd like to request

The actions-rs/audit-check action we currently use to check for rust-sec advisories is unmaintained. See rust-lang/infra-team#96.

IIUC, EmbarkStudios/cargo-deny-action, which we current use for validating the licenses of our dependencies, can also check for rustsec advisories. We should be able to drop our use of audit-check and use the cargo-deny-action for both purposes.

Before apply this change we should take a bit of a close look at both actions to be sure cargo-deny-action fully replaces everything we use audit-check for, but otherwise this should be a straightforward migration

Describe alternatives you've considered

No response

Additional context

No response

Is this something that you'd be interested in working on?

• 👋 I may be able to implement this internal improvement
• ⚠️ This feature might incur a breaking change

[john-h-kastner-aws]

I also just found that the rust-sec org (which manages the advisory database audit-check and cargo-deny-action pull from) forked and has been maintaining audit-check https://github.com/rustsec/audit-check

Switching to use the fork would also be a reasonable resolution to this issue, but I'm inclined go ahead with switching to cargo-deny-action since we'll need to keep depending on it anyways.