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More than two years after Jesse Baird and Luke Davies were killed in a Sydney home, former police officer Beau Lamarre-Condon has gone on trial in the supreme court. Lamarre-Condon, who stands accused of the double murder, has pleaded not guilty. In the opening weeks the court has heard allegations, viewed security footage and witnessed emotional testimonies from friends of the young couple. Matilda Boseley speaks to Guardian reporter Kat Wong to unpack the evidence before the jury

With inflation proving stubborn and global economic pressures mounting, Australians are bracing for another potential interest rate rise. Could pushing the cash rate to its highest level since 2011 send struggling households over the edge? Guardian Australia economics editor Patrick Commins joins Reged Ahmad to unpack what’s driving the decision and what it means for the broader economic outlook

One Nation receives millions in public funding, but former members have accused the party of leaving candidates out of pocket, ‘funny money deals’ and letting donations get ‘lost in the system’. When senior correspondent Sarah Martin followed the money, she discovered even those on the inside are asking questions about accountability, and why some are saying the man brought in to improve the system might be making it worse

Barrie Cassidy and Sean Kelly (filling in for Tony Barry) look at the prime minister’s week in the US against the backdrop of Donald Trump’s ban of three news organisations from the White House. Would the Australian media ever join together like their American counterparts and boycott a political party or politician? The two former press advisers also examine press conference ethics and why Australian politicians should be wary of using AI to write their speeches

A government database has been hacked for the first time by a rogue OpenAI agent, which infiltrated part of the Australian healthcare scheme in June. OpenAI became aware of the hack in August, but only informed the government in September. Australia’s prime minister, Anthony Albanese, has expressed his ‘extreme concern’ about the hack, which raises serious AI security concerns for governments around the world. Lucy Hough speaks to the Guardian’s UK technology editor Robert Booth