Objective 1: Capture enemy Command Center

Objective 2: Elimination of all enemies

Recommended Echelon(s): AR/SMG (x2)
 

Objective 1

Not much to say here; all we need to do is capture the nodes surrounding the enemy Command Center.

On turn one, move up and deploy your second combat echelon. On turn two, move your first echelon to the right one node, then start moving your second echelon along the bottom pathway. On turn three, move your first echelon up to take the node to the left of the enemy Command Center. Continue moving your second echelon through the bottom pathway. On turn four, you can use your second echelon to take the node to the right of the enemy Command Center to surround it, which will end the map.

Objective 2

For this objective, we need to eliminate all of the enemies, including the Manticore. Thankfully, we have a nice way to just despawn it, rather than killing it, which still counts. To start off with, we replicate the opening from objective 1.

On turn one, move up and deploy your second combat echelon. On turn two, move your first echelon to the right one node, then start moving your second echelon along the bottom pathway to kill the Dinergate echelon down there. Turn three, move down to the Radar Tower. Stepping on that node despawns the Manticore, so you don't need to deal with it. From here, all you need to do is kill the last two enemies, which your first echelon can deal with, so mop up the remaining enemies, and on turn four you should be done with the map.

Videos of me clearing this map

Objective 1

Objective 2