Switch to using analysis framework natively with fact export

As noted in golangci/golangci-lint#4158, this linter is incompatible with the analysis framework because it strongly relies on state across packages, and this state is not exported using the [facts API](https://pkg.go.dev/golang.org/x/tools/go/analysis/internal/facts).

The analyzer shim present in golangci-lint seems insufficient in dealing with this limitation. This entire module would likely need to be re-written as an analyzer.