Aluminium alloys are notably difficult to laser-weld, requiring much higher power than other materials. Laser welding is likely to damage you copper tube. I would recommend to use electron-beam welding instead.
For pipe welding, the same material is used if possible or similar materials.
When welding a three-layer trap as one of the matrices has a different stand-by temperature, another welding method is required. Widely applicable is the front electro-welding or welding by pressing. Another approach is the vigorous welding of Al alloy with Cu or Cu alloy.
The suitable laser welding for joining aluminum alloy should be low wave-length laser such as YAG laser, fiber laser, dics laser or Excimer laser. However, excimer laser could not provide the small spot size (if you needs to micro-welding). To join Al and Cu, we needs to promote the formation of AlCu IMP, which really brittle. Thus, u need to control IMP formation.
I agree with Oleg. You should expect a brittle joint because the intermetallic phases formed at the interface. Depending on the geometry of your parts, you may try the MPW technique. See the paper below:
"Interface Phenomena and Bonding Mechanism in Magnetic Pulse Welding", A Stern et al. , Journal of Materials Engineering and Performance, 2014, 1-10