I hope you prepared and filed your affirmative asylum claim with a practicing immigration attorney. Statutorily, if the decision is not made within 150 days from your submission you may file for an EAD as an asylee applicant. Please take notice that the initial EAD document for an eligible asylee applicant does not require a filing fee.
However, from your narrative it is not clear how many days elapsed from the submission of your case. One certain way to see whether you have amassed the requisite statutory time to file for an EAD would be to call the USCIS status toll free line at 800-898-7180 and enter your generated A number to obtain that information.
In conclusion, if you are not represented by an immigration counsel with experience in asylum law I suggest you consult with such professional without any delay.
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