Is it cool to have no friends?

AI, Iran and Taiwan – there will be no shortage of topics when the two most powerful men in the world meet in Washington. But what do they both want? Jonathan Czin explains. Help support our independent journalism at theguardian.com/infocus

Andy Burnham has navigated his way through a first high-stakes meeting with Donald Trump at the UN general assembly in New York. The prime minister’s aides were delighted with how the meeting went, as Trump praised the US-UK relationship and described Burnham as a ‘natural businessman’. The anticipated sticking points – the Chagos Islands, West Bank settlement sanctions and Ireland – appear not to have derailed the talks nor cast a shadow over the future relationship. Lucy Hough speaks to policy editor Kiran Stacey – watch on YouTube. Help support our independent journalism at theguardian.com/infocus

Loneliness influencers are on the rise. When did social media get so unsociable? Jessica Murray explains. Help support our independent journalism at theguardian.com/infocus

In what is probably one of the biggest battles yet between the press and Donald Trump, major TV networks have united in a boycott of pooled coverage of his administration. It comes after three news organisations – CNN, MS Now and Politico – were denied access to the White House because of Trump’s concerns about their coverage. Lucy Hough speaks to the Guardian’s international news editor Paul Owen – watch on YouTube. Help support our independent journalism at theguardian.com/infocus

The Houthis now control the Bab al-Mandab strait. But where is it and why does it matter? Patrick Wintour explains. Help support our independent journalism at theguardian.com/infocus

The German chancellor, Friedrich Merz, has vowed to stay in office despite heavy losses in two state elections that he described as a ‘disaster’. The anti-immigration, Kremlin-friendly Alternative für Deutschland won with 38% of the vote in Mecklenburg-Western Pomerania, while the leftwing Die Linke was victorious in Berlin. Merz has promised political change, but speculation is growing that his party could soon oust him. Lucy Hough speaks to the Guardian’s Berlin correspondent, Deborah Cole – watch on YouTube. Help support our independent journalism at theguardian.com/infocus

From hospital wards to bathrooms, where is a transgender person supposed to go after the latest equalities guidance?. Help support our independent journalism at theguardian.com/infocus

Buckingham Palace has issued a rare, and strong, rebuttal to claims made in Earl Spencer’s memoir Swan Song. The book claims that King Charles told Spencer days after Diana’s death and during a heated row over funeral arrangements: ‘Rest assured, we’ll forget her soon enough.’ Lucy Hough speaks to the Guardian’s senior national news editor, Aaron Sharp. Help support our independent journalism at theguardian.com/infocus

Can you have a happy, healthy relationship of three? Today in Focus hears about good and bad throupling experiences. With reporting from Kitty Drake. Help support our independent journalism at theguardian.com/infocus

Canadian prime minister, Mark Carney, has welcomed the EU’s proposal for Canada to become the bloc’s first ‘associate member’, despite threats from Donald Trump over the plan. The US president said Washington could impose ‘very serious tariffs’ or halt trade if the EU went ahead with the idea. But in a defiant speech to the European parliament, Carney called for ‘deep cooperation’ and said polling showed the overwhelming majority of Canadians supported closer ties with Europe. Lucy Hough speaks to Europe correspondent Jon Henley – watch on YouTube. Help support our independent journalism at theguardian.com/infocus