This commit updates a number of dependencies used during package
development and as part of the build process.

In addition to updating dependencies, this commit also updates pnpm to
v9.12, which adds the `catalog:` protocol[^1] (it was added in v9.5).

The `catalog:` protocol makes it possible to define package versions in
`pnpm-workspace.yaml` and use those versions throughout the workspace.

This commit moved to `catalog:` for:

- eslint
- typescript
- vite

These dependencies are used extensively throughout the workspace, and
`catalog:` is an improvement over the implicit `*` dependency we were
using for TypeScript.

We could make more use of `catalog:` in the future, but this commit
focuses on a few dependencies that were updated in multiple places in
the workspace as part of the dependency updates in this commit.

[^1]: https://pnpm.io/catalogs

We're not going to update the rollup plugin in this PR, so we'll stick
to TS 5.5 for now.

We should move to `@rollup/plugin-typescript` as soon as we can so we
don't get stuck on TS 5.5.