My 2 cents is that
you probably have taken so many tests that regardless of whether you end with 3 or 4 scores you will have to write an explanation for law school admissions. Also, since your average score is considered for some law schools, you can probably increase your average score by taking 4 lsat's.
Finally, there is no guarantee that you will actually improve, and always the chance that either the June or October tests might go poorly.
So, you might benefit from taking the lsat in June. If you do start scoring even higher before october, i dont think adding a low 160 lsat in june to your application will hurt.