Very important question
Andromeda Initiative launched in late 2185, and Mass Effect 3 ended around the middle\late 2186. As far as we know, almost all endings includes the explode of relays. If we assume that the time interval between the departure of the Andromeda Initiative and the ending of Mass Effect 3 is one year, it turns out that Arks have flown only 4200 light years, it is very small (The Initiative reached the Andromeda galaxy in 600, and the distance from Earth to Andromeda is 2520000 light years, it means that Arks Speed = 2520000/600= 4200 light years per year (in fact, as we learn from the game, this flight took more time then 600 years, it means that the speed be smaller)). It follows that Arks will move from the last Mass Relay only at 4200 light years. As we know, the exploding Mass Relay covers a very large area. In General, for the one year, moving with a speed of 4200 light years per year, they would not have left the radius of explosion. But what we see in Andromeda? Artificial Intelligence still on the ship is quite lively, which means that this is not Destroy Ending. Alive creatures and Artificial Intelligence not merged, nobody glow green, that means this is not Synthesis Ending. It remains only to Control Ending, because if even the Mass Relays are destroyed in this ending too, but it has no effect on Synthetic and Alive creatures and this is what we see in ME: Andromeda.
So it means that canonical ending of Mass Effect 3 is the Control Ending? Or Shepard chose to "continue the cycle" ?