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Erika Kirk – the widow of Charlie Kirk, the rightwing activist killed in Utah in September – has indicated she would be willing to support JD Vance in a 2028 presidential bid. Katie Miller, the wife of White House deputy chief of staff for policy Stephen Miller, invites senior Republicans on to her podcast for discussions with conservative women. And the Trump administration is developing baby-boom policies it hopes will help gain the backing of women in the midterm elections. Jonathan Freedland speaks to the Guardian columnist Arwa Mahdawi about the Republican drive to win over women

This week, senator Pauline Hanson donned a burqa in parliament and refused to remove it, attracting significant attention. Bridie Jabour talks to the editor, Lenore Taylor, the head of newsroom, Mike Ticher, and the national news editor, Josephine Tovey, about political stunts and how the media should cover them.

Porepunkah shooting suspect Dezi Freeman remains missing three months after he allegedly shot and killed two police officers, and wounded a third. Justice and court reporter Nino Bucci tells Reged Ahmad about the unease felt by those living in the Victorian town, and police theories of where Freeman could be

First there was a 28-point plan pushed by Trump last Wednesday, as a solution to end almost four years of a war that has devastated Ukraine and killed hundreds of thousands of soldiers and civilians. By the weekend, there had been a redraft. A slimmed down 19-point proposal. This time seemingly less skewed towards Russia. By Tuesday, at a summit in Abu Dhabi, US, Russian and Ukrainian officials were hammering out a third version. The Guardian’s Russian affairs reporter, Pjotr Sauer, told Nosheen Iqbal what it has been like to watch these twists and turns

Israel’s latest strike in Beirut on Sunday, which killed at least five people and wounded 28, has dramatically escalated existing tensions in the region and left many in Lebanon anxious about what may follow. Beirut-based journalist William Christou speaks to Nour Haydar about the Lebanese government and Hezbollah’s responses to the strike and Israel’s ongoing presence in south Lebanon, despite a ceasefire agreement.

New figures released over the weekend show the cost of the Bureau of Meteorology’s website redesign has ballooned to $96.5m. Technology reporter Josh Taylor tells Nour Haydar how this happened, how it compares with other website redesigns and why the environment minister is asking for an explanation

Max Rushden is joined by Geoff Lemon, Ali Martin and Jim Wallace to discuss Australia’s humbling defeat of England in the first Test in Perth that ended three days early

A Queensland coroner has found that the three members of the Train family behind the 2022 Wieambilla shootings were not terrorists, but instead killed two police officers and a neighbour due to their shared ‘persecutory’ delusions. Queensland state reporter Andrew Messenger speaks to Reged Ahmad about the coroner’s findings into what happened that day and whether anything could have been done to prevent it

Author and columnist Sean Kelly says despite Labor’s overwhelming majority and an opposition largely consumed by its own infighting, there are signs that Anthony Albanese’s government will waste the opportunity handed to them by the Australian people. Kelly talks to Guardian Australia political editor Tom McIlroy about his new Quarterly essay, which examines the Labor party’s move away from idealism towards pragmatism. And the former Rudd and Gillard staffer argues that while Albanese’s caution has won him two elections, it could also become the prime minister’s greatest weakness

In an incredible U-turn, Donald Trump this week signed a bill directing the justice department to release more files from the investigation into the convicted child sex offender Jeffrey Epstein. It comes amid a huge bust-up with his former firebrand loyalist Marjorie Taylor Greene, who has led the calls for him to release the documents. Is this the start of a Maga breakdown? And where will this increasingly hostile row between them go? Jonathan Freedland speaks to Rolling Stone reporter Nikki McCann Ramirez about how the former allies fell out and what will happen next with the Epstein files