The far-right conspiracy theory is heard everywhere from pubs to parliament and riots to talk radio. Hugh Muir and Joe Mulhall explain why. Help support our independent journalism at theguardian.com/infocus

Israel and Lebanon have agreed to implement a ceasefire to end hostilities as the US attempts to overcome one of the largest barriers to reaching a broader deal to end the war with Iran. But the Israel-Lebanon ceasefire is dependent on a complete halt of fire from Hezbollah, and the evacuation of all its fighters from southern Lebanon. Lucy Hough speaks to Beirut-based reporter William Christou – watch on YouTube. Help support our independent journalism at theguardian.com/infocus

The leftwing American commentator Cenk Uygur talks about the ban on him and his nephew, Hasan Piker, entering the UK this week. With reporting from Kiran Stacey. Help support our independent journalism at theguardian.com/infocus

There has been violent disorder on the streets of Southampton sparked by the murder of student Henry Nowak. Politicians and community leaders have called for calm amid fears that Nowak’s death will be used to whip up racial resentment against minority ethnic Britons. Lucy Hough speaks to community affairs correspondent Aamna Mohdin – watch on YouTube. Help support our independent journalism at theguardian.com/infocus

Fast cars, luxury watches – and, of course, that motorhome: the list of what former SNP chief executive Peter Murrell bought with embezzled funds is dizzying. Severin Carrell reports.. Help support our independent journalism at theguardian.com/infocus

The second tranche of documents related to the appointment of Peter Mandelson as US ambassador have been released. The documents, running to more than 1,000 pages, were supposed to reveal what ministers knew about Mandelson’s links to Epstein and the security process to approve his appointment, but instead have revealed government infighting and early doubts about Keir Starmer’s premiership. Lucy Hough speaks to the Guardian’s head of national news, Archie Bland – watch on YouTube. Help support our independent journalism at theguardian.com/infocus

Daniel Trilling on the far-right party threatening Reform’s chances in the Makerfield byelection. Help support our independent journalism at theguardian.com/infocus

As Israel threatens to bomb Beirut and the US and Iran trade missile strikes, Donald Trump insists it will ‘all work out well in the end’ and urges his critics to ‘sit back and relax’. So are we any closer to a deal? Lucy Hough speaks to diplomatic editor Patrick Wintour – watch on YouTube. Help support our independent journalism at theguardian.com/infocus

Alaina Demopoulos reports on the Christian influencers telling women to submit to their husbands. Help support our independent journalism at theguardian.com/infocus

Nato has vowed to ‘defend every inch’ of its territory after a Russian drone hit an apartment building in Romania. The strike prompted swift condemnation and threats of repercussion from European leaders. So is there a risk the war could expand beyond Ukraine? Lucy Hough speaks to senior international correspondent Peter Beaumont – watch on YouTube. Help support our independent journalism at theguardian.com/infocus

In the week when the hottest May days were recorded, environment editor Fiona Harvey examines a new Climate Change Committee report on how the UK can better withstand extreme heat. Help support our independent journalism at theguardian.com/infocus