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Would Brawler's Flurry and Flurry of Maneuvers work together?

Flurry of Maneuvers reads

At 1st level, as part of a full-attack action, a maneuver master can make one additional combat maneuver, regardless of whether the maneuver normally replaces a melee attack or requires a standard action. The maneuver master uses his monk level in place of his base attack bonus to determine his CMB for the bonus maneuvers, though all combat maneuver checks suffer a –2 penalty when using a flurry.

And Brawler's Flurry says

Starting at 2nd level, a brawler can make a brawler's flurry as a full-attack action. When doing so, a brawler has the Two-Weapon Fighting feat when attacking with any combination of unarmed strikes, weapons from the close fighter weapon group, or weapons with the "monk" special feature. She does not need to use two different weapons to use this ability.

Since Flurry of Maneuvers says that it's as part of a full attack action, and Brawler's Flurry is a full attack action, would they work together?