"The climate crisis does not affect everyone equally, and the recent heatwaves have made that crystal clear," said Garbett.
She noted that local headteachers face difficult choices regarding whether to keep schools open during extreme heat or close them, which impacts children without cooler home alternatives.
"Urgent investment from the government in more resilient schools and public buildings isn't just an issue of the climate crisis, it's a matter of basic social justice," said Garbett.
"Councils are ready to tackle the crisis and take on a statutory duty to lead the response, but we need the powers and – more importantly – proper funding to take action."
In response to the growing demands, a government representative clarified the state's current position.
"The government has no plans to introduce a mandatory maximum workplace temperature," said a government spokesperson.
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The spokesperson added that the Health and Safety Executive continues to distribute guidance for employers, and will launch a public consultation this year addressing workplace temperature thresholds.