Move along forked itween paths

Hi I have created 2 paths using Itween. Path0 is Vertical and Path1 is horizontal. Path1 intersects Path0 somewhere in the middle. How do I ensure that the gameobject can only move right/left while it is on Path1 and since Path1 and Path0 are intersecting each other there is a point where the gameobject can move in all 4 directons. Currently, my gameobject just jumps to Path1 from Path0 when I press the right key while gameobject is on path0. please help!

public class itweenObject : MonoBehaviour {

 public Transform[] path0;
 public Transform[] path1;
 private float percent0;
 private float percent1;
 public Collider2D cornerTrigger1 = null;
 
 void OnDrawGizmos(){
     iTween.DrawPath(path0,Color.blue);    
     iTween.DrawPath(path1,Color.blue);
 }    

 void Update () {
 
 
     if(Input.GetKey(KeyCode.UpArrow))
     {
         percent0 += Time.deltaTime;
         iTween.PutOnPath(this.gameObject,path0, percent0);
     }
     else if(Input.GetKey(KeyCode.DownArrow))
     {
         percent0 -= Time.deltaTime;
         iTween.PutOnPath(this.gameObject,path0, percent0);
     }


     if(Input.GetKey(KeyCode.RightArrow))
     {
         percent1 += Time.deltaTime;
         iTween.PutOnPath(this.gameObject,path1, percent1);
     }
     else if(Input.GetKey(KeyCode.LeftArrow))
     {
         percent1 -= Time.deltaTime;
         iTween.PutOnPath(this.gameObject,path1, percent1);
     }
 }
 }