PhD position: got rejected - reapply?
If I were in your position, instead of submitting a 'cold' re-application, I would first contact the committee and ask them for advice about what I could do to improve my prospects of being accepted as a PhD student. I have seen people do this a few times, and the strategy receives positive responses from faculty; but of course you will then have to do the work and actually improve on the things they suggest.

Re-applying with exactly the same material will probably not get you anywhere. However, if you get advice from the committee and/or from other people who are experienced in the field about what to improve or what skills/experience to acquire, and if you can demonstrate the results well, it will be noticed.