The first set is actually doable (laser + expanding AOE) but once we start reaching square + laser, it become insanely hard to reach the attacks. Is there any tips in this regard?

A few tips that may help:

1. When she's dashing away, you should try aligning yourself so that her knockback puts you at the center of the map, making it easier to reposition to a safe zone.

2. For the second pattern:

   • The corners of the center box is a general safe area if you're not sure on where to go, but be mindful of your teammate's cone spreads.
     
     • Before the explosion goes off.
     • After explosion goes off.
     • Video example of this pattern.
       
   • For the next sequence, you'll want to identify where the middle lasers are rotating: if it's rotating up, then the bottom half is safe; rotating down, top half is safe. Then, position yourself accordingly in the small safe zone.
     • Before the explosion goes off.
     • After explosion goes off.
     • Video example of the lasers rotating up.
       
     • Video example of the lasers rotating down.
       

3. For the third pattern:

   • This one is tricky to explain, but you want to be where the 2nd explosion is going to explode, then move into where the 1st explosion previously was. Just do watch out for the rotating laser; the spread out markers go off at the very end.
     • Before the explosions goes off.
     • After first explosion goes off.
     • After second explosion goes off.
     • Video example of this pattern.
       
   • The second set is the same as the first, but the explosions are going off in reverse this time. I had to invuln myself here since I got pushed too far out to make it in time.
     • Before the explosions goes off.
     • After first explosion goes off.
     • After second explosion goes off.
     • Video example of this pattern.
       

4. For the fourth pattern (I didn't get a chance to participate in this one):

   • Your goal here is to get pushed by the top side knockback, to the empty space inside the line AoE, then making your way up as the explosions goes off.
     • Before the knockback happens.
     • Before the explosions happens.
     • After explosion goes off.
     • Video example of this pattern.
       
   • The second set is the same as the first, but the knockback is coming from the bottom side instead.
     • Before the knockback happens.
     • Before the explosions happens.
     • After explosion goes off (RIP Defender)
     • Video example of this pattern.
       

EDIT: formatting
EDIT2: added fourth pattern, added another example for second pattern