Valid one, you can. It is a Government issued ID, after all.
The information contained in this answer is provided for informational purposes only, and should not be construed as legal advice on any subject matter,not should it be viewed as establishing an attorney client relationship of any kind.
Your EAD card is not a travel document but since is newly issued you should immediately apply at local DPS to renew your DL. You can use both or either as an ID or if you have a valid passport to fly within the U. S.