Caution with this. Many laser cutting shops will refuse to cut copper. One vendor that I was in contact with told me that the reason why is their lasers use copper for mirrors (copper is an excellent IR reflector). You would need to find a laser cutting shop that has the correct equipment and processes for cutting copper.
I’m not saying that it is impossible, but the lower cost laser cutting houses might not have the specialized equipment available. Check this link for a white-paper-like explanation of the challenges and techniques to overcome laser cutting copper: