When Brooks finished with aplomb it was impossible not to feel a degree of sympathy for Everton goalkeeper Jordan Pickford.
The England goalkeeper was his typically animated self but backed it up with a near-faultless display between the sticks.
Pickford superbly denied Dango Ouattara from close range early in the contest and then produced a double stop to deny Antoine Semenyo and Justin Kluivert before the break.
In front of England's new goalkeeping coach Henrique Hilario, watching from the stands, the 30-year-old was equally impressive after the interval as he dived full length to tip Ouattara's low shot from 20 yards past the post
It would take a moment of real quality to beat Pickford on this form and there was little he could do about the goal.
Brooks evaded Everton defender Vitalii Mykolenko to create space for himself and Pickford was left unsighted so could not react in time.
Pickford has been the Everton fans' player of the season for the past three campaigns but was left chuntering to himself as he left the pitch after another game in which the Blues failed to cut it in attack.
They managed just 132 shots on target and only scored 31 goals in the Premier League in 2024, the fewest of any ever-present club across the calendar year.
At the start of 2025 things look to be continuing in the same vein. Dyche simply has to find a way to get his side to stop firing blanks.