give the go-ahead for something(пример: A major revamp of a Merseyside theatre is given the go-ahead after Arts Council England makes an award of £12.8m. (BBC News) Praline)
green-light(Vancouver city council this week green-lit mixed-use developments significantly bigger that what local zoning would normally allow, again signalling to city staff — and the city at large — their desire to go bigger and faster on housing.vancouversun.comART Vancouver)
grant the go-ahead(The US has intelligence Russian troops have been granted the go ahead to invade Ukraine, CBS News is reporting, with commmanders making “specific plans” for battlefield manoeuvers.theguardian.com4uzhoj)