Camera move slightly with mouse?

So do I make something like this, if tried looking for other posts but none get this right, I have attempted making it with no success, any help on where to get started?

https://gyazo.com/d46126ff0dd34ef49d3a8cff6d9acf54

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This should help you:

I have seen this post, tried it, doesn’t really work with what I originally needed

Ok, I have modified the code ALL BY MYSELF and it should behave the same you wanted:
(seriously thanks @A_Chim for contributing, it took me 10000000 years to finish.)
(I couldn’t fix the cam following the part lookvector)

local mouse = game.Players.LocalPlayer:GetMouse()
local cam = workspace.CurrentCamera
local camPart = workspace.campart

local Scale = 5000

cam.CameraType = Enum.CameraType.Scriptable

game:GetService("RunService").RenderStepped:Connect(function()
	local center = Vector2.new(cam.ViewportSize.X/2, cam.ViewportSize.Y/2)
	local x = mouse.X - center.X / 2
	local y = mouse.Y - center.Y / 2
	local xOffset = x/Scale 
	local yOffset = y/Scale
	
	local lookAtPoint = camPart.Position+camPart.CFrame.LookVector*5
	local vector = Vector3.new(
		lookAtPoint.X - xOffset,
		lookAtPoint.Y - yOffset,
		lookAtPoint.Z - xOffset)  
	
	local result = CFrame.lookAt(camPart.CFrame.Position,vector)
	
	cam.CFrame = result
end)

Video preview of this script:
https://gyazo.com/a542caa06b0c534b1e29716988ec5763

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