How to convert Part.Orientation in HumanoidRootPart.CFrame.LookVector and back?

I'm trying to create wall running, and I want the character not to break away from wall during holding a key, if you look to the sides. The idea is that the character's motion vector would coincide with the orientation vector of the wall. Problem is the data types inside Roblox is different and I can't just equate them. (look under comment)

local c = script.Parent
local holdingKey = false
local uis = game:GetService("UserInputService")
local leftAnim = c.Humanoid:LoadAnimation(script:WaitForChild("WallrunLeft"))
local rightAnim = c.Humanoid:LoadAnimation(script:WaitForChild("WallrunRight"))




uis.InputBegan:Connect(function(inp, p)
	if not p and inp.KeyCode == Enum.KeyCode.F then
		holdingKey = true
	end
end)

uis.InputEnded:Connect(function(inp)
	if inp.KeyCode == Enum.KeyCode.F then
		holdingKey = false
	end
end)


game:GetService("RunService").Heartbeat:Connect(function()
	local raycastParams = RaycastParams.new()
	raycastParams.FilterType = Enum.RaycastFilterType.Blacklist; raycastParams.FilterDescendantsInstances = {c}; raycastParams.IgnoreWater = true;
	local rayL = workspace:Raycast(c.HumanoidRootPart.CFrame.Position, -c.HumanoidRootPart.CFrame.RightVector * 3, raycastParams)
	local rayR = workspace:Raycast(c.HumanoidRootPart.CFrame.Position, c.HumanoidRootPart.CFrame.RightVector * 3, raycastParams)
	local ray = rayL or rayR
	if ray and holdingKey then
		if ray == rayL then
			if not leftAnim.IsPlaying then leftAnim:Play() end
			rightAnim:Stop()
		else
			if not rightAnim.IsPlaying then rightAnim:Play() end
			leftAnim:Stop()
		end
		local part = ray.Instance
		local weld = c.HumanoidRootPart:FindFirstChild("WallrunWeld") or Instance.new("WeldConstraint")
		weld.Name = "WallrunWeld"
		weld.Part0 = c.HumanoidRootPart
		weld.Part1 = part
		local bp = c.HumanoidRootPart:FindFirstChild("WallrunBodyPosition") or Instance.new("BodyPosition", c.HumanoidRootPart)
		bp.Name = "WallrunBodyPosition"
		bp.MaxForce = Vector3.new(math.huge, math.huge, math.huge)
		
		
		-- implementation of running!!!!!!!
		bp.Position = c.HumanoidRootPart.Position + c.HumanoidRootPart.CFrame.LookVector * (game.Players.LocalPlayer.Character.Humanoid.WalkSpeed*0.5)
		
		
		print(ray.Instance.Orientation)
		print(c.HumanoidRootPart.CFrame.LookVector)
	else
		for i, child in pairs(c.HumanoidRootPart:GetChildren()) do
			if child.Name == "WallrunWeld" or child.Name == "WallrunBodyPosition" then
				child:Destroy()
			end
		end
		leftAnim:Stop()
		rightAnim:Stop()
	end
end)

If I understand correctly, you want to convert rad to deg or deg to rad. Roblox has functions for converting this.

math.deg() -- Put a radian number (lookvector), it returns that number in degrees
math.rad() -- Put a degree number (orientation), it returns that number in radians

--example
local orientationToRadians = Vector3.new(math.rad(X),math.rad(Y),math.rad(Z))

I also think Roblox at one point had CFrame.fromorientation or something like that but don't use it,