Award inventory is very dynamic for the most part, could be instantaneous if an award is cancelled by someone, the space immediately appears in the inventory just as normal revenue seats may reopen when cancellations or changes are made. Otherwise, AA and partner airlines can release additional inventory at any time based on their forecasting future revenue demand, or lack thereof on specific routes/class. Other than loading the 330th day (or whatever AA's advance window is), don't know there's any fixed time factor.