You may try and apply for an I-765, but it is highly doubtful whether USCIS California Service Center will even want to entertain the application..
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Unfortunately USCIS has not implemented the authority to approve work authorization during the pendency of applications. The only exception is when they decide to approve but the 10,000 per year cap has been met. In that case they issue deferred action to the person but that has its own basis for work authorization, so not an implementation of the statute you reference b