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In this episode of Guardian Australia’s US politics podcast, co-hosts Reged Ahmad and Jonathan Yerushalmy look at what the reported food shortages and mental health crisis on the USS Lincoln say about whether the US military is stretched too thin as the war on Iran drags on. They also look at Donald Trump’s vaccine executive order and why experts are fearful it could spread vaccine hesitancy to Australia. Finally, what’s the update on Trump and North Korean leader Kim Jong Un’s long-running bromance?

New South Wales will become the first state to undertake Australia’s biggest gun buyback in 30 years in a jointly funded scheme in response to the Bondi beach terror attack. The move has been welcomed by many, but has also been met with opposition from the Coalition and One Nation who say it unfairly targets law-abiding gun owners. Rafqa Touma speaks to reporter Penry Buckley about whether the buyback will work and why the scheme has angered so many

Christopher Berry-Dee has been a pioneer of the true crime genre for years. The UK’s all-time bestselling true crime author is a self-proclaimed expert in serial killers, persuading them to give interviews and laying out their crimes in extensive detail. ‘Persuasive,’ says Sirin Kale after speaking to many who know him, ‘that’s a word that comes up a lot.’ However, after an investigation with fellow investigations correspondent Lucy Osborne, Sirin tells Annie Kelly about a much darker side to Berry-Dee, who has been accused by multiple women of violence, rape and sexual assault. Berry-Dee denies the allegations

With just months to go before New Zealand voters head to the polls, the prime minister, Christopher Luxon, has survived his second leadership spill in just four months. As flagging poll numbers, a sluggish economy and high-profile gaffes build pressure on Luxon, can the embattled leader retain his grip on power through November? The Guardian’s New Zealand correspondent Eva Corlett joins Reged Ahmad to look inside NZ politics and whether the PM can make it to election day

From immigration to inflation, housing sits at the heart of most political debates. But political parties are struggling to come up with a coherent message – and no one has a clear plan to fix the crisis. The Liberal senator and shadow housing minister, Andrew Bragg, last week said his plan to cut immigration is the solution – but so far he’s fuzzy on the details. And the government wants house prices to fall but doesn’t seem to want to take credit for it when they do. Reged Ahmad speaks to economist Saul Eslake on what really works and why politicians can’t seem to fix one of the biggest problems facing us all