Luau/Roblox Polynomic Bezier Function

local function bezier(t: number, ...: Vector2 | Vector3): Vector2 | Vector3
    local points = {...}

    --[ TYPE CHECKING ]--
    local dimension = nil
    for _, v in ipairs(points) do
        local d = typeof(v)
        if d ~= "Vector3" and d ~= "Vector2" then
            error("control points must be Vector2 or Vector3 values")
        end
        if not dimension then
            dimension = d
        elseif d ~= dimension then
            error("cannot mix Vector2 and Vector3 control points")
        end
    end

    --[ CREATE NEXT SET OF POINTS ]--
    local function lerp(v,a,b)
        return v*(b-a)+a
    end

    local pts = {}
    for i = 1, #points-1 do
        local a, b = points[i], points[i+1]
        table.insert(pts, lerp(t, a, b))
    end
    if #pts > 1 then
        return bezier(t, unpack(pts))
    end
    return pts[1]
end