Cannot pass state from jest wrapper to sub tests

demo.test.js

const EXAMPLE_KEY = "example key";

const describeWrapper = (label, opts, tests) => {
  describe(label, () => {
    var State = undefined;

    beforeAll(async () => {
      // acquiring the state irl has to be done asynchronously
      State = EXAMPLE_KEY;
    })

    afterAll(async () => {
      State = ""
    })

    if (opts.passAsFunction) {
      test(() => State)
    }
    else {
      test(State)
    }
  })
}

describeWrapper("An example test passing the state as a function", { passAsFunction: true }, (state) => {
  var S;

  beforeAll(async () => {
    S = state()
  })

  test("State is defined", () => {
    expect(S).toBeDefined()
    expect(S).toBe(EXAMPLE_KEY)
  })
})

describeWrapper("An example test passing the state directly", { passAsFunction: false }, (State) => {
  test("State is defined", () => {
    expect(State).toBeDefined()
    expect(State).toBe(EXAMPLE_KEY)
  })
})

/**
Expected output

$ npx jest demo.test.js

 FAIL  ./demo.test.js
  ● Test suite failed to run

    Invalid first argument, () => State. It must be a string.

      15 |
      16 |     if (opts.passAsFunction) {
    > 17 |       test(() => State)
         |       ^
      18 |     }
      19 |     else {
      20 |       test(state)

      at demo.test.js:17:7
      at describeWrapper (demo.test.js:4:3)
      at Object.<anonymous> (demo.test.js:25:1)

Test Suites: 1 failed, 1 total
Tests:       0 total
Snapshots:   0 total
Time:        0.138 s
Ran all test suites matching /demo.test.js/i.

*/