No, new Brahmos's top speed is 3.5 Mach. However, at very low altitude when sea-skimming neither Russian/Indian/South Korean nor the Chinese supersonic AShM missiles can maintain its top speed. At those altitute these missiles are known to loose 30% of their top speed because of the extreme air density and resistance. This has less to do with technology of the missiles and more to do with physics.
Also it is incorrect to say only Brahmos can maneuver in 3D. Other supersonic missiles like P-800, South Korean new AShM as well as Japanese
ASM-3 are all able to maneuver in three dimensions.
In fact, when it comes to the question of which is the best AShM after Zircon, the title would likely go to ASM-3A.
It has top speed of 3.5 Mach . However what it makes it superior to the Russian P-800 or Brahmos is, its AESA radar seeker, developed by leveraging the Japanese lead in AESA technology as well as its superior design.
View attachment 31619
It's design philosophy similar to that of Meteor, enabling superior maneuverability.
Afaik, AEGIS baseline 10 equipped with SPY-6 can intercept 32x targets from all direction.
And US CSG always has extensive air patrol all around with carrier borne AWACS+Super hornet & F-35. Which are the first line of defence and will shoot down lot of the missile before it reaches within 30km of the carrier.