In a week where assassinations have continued within the top ranks of Iran's regime – the minister of intelligence, the commander of the Bases paramilitary and the powerful security chief Ali Larijani included – a weakened government seems to have had little bearing on Tehran's retaliation across Israel and nine Gulf states.

Just one week ago, US President Donald Trump spoke of a war that was "very complete, pretty much". That statement now appears to have been premature and over-confident. There's no more talk of a Venezuela-style regime change that works for Washington. And Israel's actual cooperation with Washington has come under scrutiny, after Israeli air strikes on the world's largest natural gas field, at South Pars, which provides power for an estimated 70 to 80 percent of Iranians. Trump's immediate response was that he knew nothing about it. Insiders questioned the remark; critics claimed it spoke of the US getting sucked further into an Israeli agenda. Israel's prime minister said that was nonsense.

It's also been a week that the human and economic cost of war in the Gulf was felt more deeply around the world, plus a reignited conflict in Lebanon with 1 million people now displaced. The relentless creeping up of the cost of oil is now affecting more than 85 countries in Europe, Asia, America and Africa, made worse after the Iranian attack on Qatar's Ras Laffan gas field, one of the most important global energy hubs that supplies up to 20 percent of the world's liquefied natural gas. Combined with Iran's effective blockade of the Strait of Hormuz – to which Trump called on world powers to act and join the US and send their warships to protect ships from drone attacks – the lack of any immediate response or readiness from NATO allies led to Trump once again questioning the point of the organisation. "A foolish mistake," he said, adding that the US doesn't need their help. Though his administration asked, not for the first time: where was the gratitude?

Also this week, Denmark's public broadcaster DR published revelations that Danish troops rushed to Greenland back in January, carrying explosives preparing to blow up the airport's runways, such was the fear from European intelligence chiefs that Trump would order a military takeover of the island. Danish soldiers are also said to have carried blood banks to treat those wounded in the event of a battle. Denmark's government has declined to comment.

Plus we look ahead to the Hungarian parliamentary elections, where Prime Minister Viktor Orban is facing what's considered his biggest challenge yet from rival Peter Magyar.

Produced by Gavin Lee, Théophile Vareille, Juliette Laffont, Alessandro Xenos.