How to add more to an axis in CFrame.lookAt()

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Simply, I would like to know how I can use CFrame.lookAt BUT, I add a number to one of the axis so the rotation gets added (0,0,90) so the object can look at something but is slightly tilted on one angle.

Any help is appreciated!

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-- Rotate the CFrame relative to itsself (not relative to the world)
local titledCFrame = cframe * CFrame.Angles(0, math.pi * 0.5, 0)
local direction = tiltedCFrame.LookVector

-- Or just get the directon to the right of the CFrame
local otherDirection = titledCFrame.RightVector