When does the 'iddah (waiting period) of my aunt, whose husband passed away at dawn on Sunday, 6/7/1433, end, knowing that Sha'ban and Shawwal were both 29 days? And does she exit the 'iddah by wearing her abaya and going out into the street, or does it end without doing anything?

If your paternal aunt is pregnant, her 'iddah (definition) (waiting period) ends upon delivery of her entire pregnancy. However, if she is not pregnant, her 'iddah is four months and ten days, starting from the time of death, and is calculated by lunar months. The month of death is completed to thirty days if the death occurred during it. In the example mentioned, if the death occurred at dawn on Sunday, 6/7/1433, her 'iddah would end on the sixteenth of Dhu al-Qi'dah of the same year if Rajab had thirty days, or on the seventeenth of Dhu al-Qi'dah if Rajab had twenty-nine days. The 'iddah begins from the moment of death according to the majority of scholars, and the day of death is not counted by the Malikis if it occurred after Fajr. The end of the 'iddah does not require any special action.