Does a wife inherit from her ex-husband, who died while she was observing her 'iddah (waiting period) after their divorce for a full release, knowing that the divorce document states that she is not lawful for him except through a new contract and mahr, and with her consent?

The divorced woman who inherits from her ex-husband is the woman divorced revocably, as long as she is still within her 'iddah (waiting period). She is like a wife in terms of inheritance and 'iddah. As for the irrevocably divorced woman, she does not inherit from him, and there is no 'iddah for her due to his death, because the marital relationship between them has ceased. This is unless the divorce occurred during a life-threatening illness, in which case she inherits from him.