Embedding a C library in a package (using SPM)

After having read a ton of articles and random discussions about this, I'm as confused as ever at how to integrate a dylib (SDL2) into a package, writing a little wrapper code in Swift, and then include that package in my app as a module.

If I just build my app in Xcode and don't worry about separating things into modules, it's easy. Drag the dylib in, add its header path, a bridging header, and start using it. But SPM is a completely different confusing beast...

I tried taking the SDL2 and converting it into an xcframework, since there are a couple of SDL2 Swift libraries out there I could use as guides. I've tried both converting the SDL2.framework and using Homebrew's SDL2 install as a basis (both for dylib and static .a). For example, here's how I created an xcframework from the original SDL2.framework:

xcodebuild -create-xcframework -framework SDL2.framework -output SDL2.xcframework

Then I created this Package.swift:

let package = Package(
    name: "SDL",
    platforms: [
        .macOS(.v10_14)
    ],
    products: [
        .library(
            name: "SDL",
            targets: ["SDL"]),
    ],
    targets: [
        .target(
            name: "SDL",
            dependencies: ["SDL2"]),
        .binaryTarget(
            name: "SDL2", 
            path: "SDL2.xcframework"),
        .testTarget(
            name: "SDLTests",
            dependencies: ["SDL"]),
    ]
)

But if I try this in my SDL package's SDL.swift file:

import SDL2

I get a "no such module" error.

Any pointers as how to properly do this? I feel like this should be a simple thing at this point, given how easy it was in Xcode. But every example and every article describes a different way to do things, most of which I can't get to work.

Thanks.