The phrase "advent of the first" is correct and usable in written English.
This phrase typically refers to the first occurrence of something and is used to describe an important event. For example, you could say, "The advent of the first vaccine was a key moment in medical history."
In 1981, with the advent of the first Reagan administration, he joined the Environmental Protection Agency as director of congressional liaison.
Only a little history peeks through: a small panel describes the advent of the first microprocessor in that ancient year of 1974.
Nevertheless, the Ngram's evidence shows that "equality of sacrifice" gained real salience only with the advent of the First World War, seven decades after the term's introduction.
Gradual sclerosis was confirmed by the advent of the first world war, in which the house of Morgan and American finance generally proved dominant.
Since the advent of the first variable-capacitance electrostatic micromotor in 1987, there successively appeared many kinds of micromotors in micro-electro-mechanical systems (MEMS).
The issues we covered could be familiar or outlandish: domestic violence and buttock implants, work/life balance and the advent of the first black pantyliner (so you could colour coordinate your sanitary wear).
Of course, this changed sharply with the advent of the second Bush administration.
The advent of the second new ball as the clouds descended caused considerable havoc – 17 runs and three wickets.
When Adolf Hitler announced this programme, the advent of the Third Empire which he proclaims seemed still at the end of the rainbow.
With the advent of the second world war, men went off to fight and women were needed to work in the factories, building ships and planes.
It was the advent of the second plane, sharking in low over the Statue of Liberty: that was the defining moment.
