"Only Jesus can "dismiss" sins...that is cleanse us...with his Blood shed for us on the cross."I strongly doubt that any scripture denies that "Only Jesus can "dismiss" sins...that is cleanse us...with his Blood shed for us on the cross."Matthew 18:18 would suggest otherwise.
So did Jesus die on the cross with all of the sins of the world upon Him?
I am not going to endorse TULIP either directly or indirectly so I firmly reject the concepts of irresistible grace and unconditional election implied by that statement. There is, however, considerable nuance in the Catholic teaching on this. Without a careful choice of words confusion and error will arise.
Jesus atoned for or expiated all of the sins of the world, however His was not a vicarious punishment for our sins. He paid the price for all sins, yet all are not saved. Neither was His death a propitiation to an angry god.
Peace and blessings