Java how to write : test extends a generic test

I am writing 3 different class tests: HardSudoku, VeryHardSudoku and Sudoku

The HardSudoku and VeryHardSudoku classes extend the Sudoku class

So I would have liked to write these three tests in such a way as to respect the DRY principle, so for that, I think that the best solution is to use genericity within the tests.

Here is how I wanted to proceed:

Tests :

SudokuTest

class SudokuTest<T extends Sudoku> {

    @Test
    void test_solve_dontThrowError() {
        T sudoku = new T();
        assertAll(() -> sudoku.solve());
    }

    @Test
    void test_solve_returnValidSolution() {
        T sudoku = new T();
        sudoku.solve();
        assertTrue(SolutionChecker.isValid(sudoku.getGridSolution()));
    }
}

HardSudokuTest

public class HardSudokuTest extends SudokuTest<HardSudoku> {
    
}

VeryHardSudokuTest

public class HardSudokuTest extends SudokuTest<VeryHardSudoku> {
    
}

Question

The line in the SudokuClass test class :

        T sudoku = new T();

Is not valid, so I wanted to ask you how to write these 3 tests in a way that respects the DRY principle? Is it possible to use genericity?