Writing the summary…
Australia news live: Mother charged with murder after alleged stabbing in Blue Mountains left one child dead and two critically injured

Original reporting
The Guardian: read the full reportRelated stories
Gunman opens fire near high school in western Turkiye, wounding eight
Police arrest suspect in shooting near high school as injured are rushed to local hospitals for treatment.

At least 11 injured in shooting at Turkish high school
Footage appears to show a male in the area carrying a firearm, while officials say the attacker has been captured.

Trump heads to U.N. looking for wins after a rough week
The past couple of weeks have been particularly challenging for Trump with a series of legal and political setbacks.

Lithuania ready to 'fight back' but has evacuation plans in face of Russia threats, PM tells BBC
Sinkevičius told BBC Newsnight Lithuanians feel "constantly threatened" by Moscow, but the nation was prepared to "fight back" if attacked.

AI could be a bubble and is not yet making Australia more productive, Michele Bullock says
RBA governor says AI is ‘great white hope’ but its adoption is so far adding to inflation, rather than economic growth Get our breaking news email , free app or daily news podcast The Reserve Bank governor said AI could be a bubble and there was no evidence it is making the economy more efficient, as the Albanese government claims the technology will solve Australia’s economic malaise. Ahead of an expected interest rate rise next week Michele Bullock also said the slump in house prices was deeper than others in Australia’s recent history. Continue reading...

Jacinda Ardern and husband Clarke Gayford buy $5.3m home in Sydney’s northern beaches
Former New Zealand prime minister’s purchase is the highest sale price recorded in suburb of Dee Why this year Get our breaking news email , free app or daily news podcast Jacinda Ardern and her husband, Clarke Gayford, have bought a $5.3m home in Sydney’s northern beaches, according to a source with knowledge of the sale. The former New Zealand prime minister settled on a home in Dee Why after looking at properties in the area including in nearby Curl Curl. Continue reading...