Conditional Edge in Langgraph is not working as expected

I'm new to Langgraph, trying to create a simple graph with four nodes i.e 'node_1', 'node_2', 'node_3', 'node_4'.

the edges are defined as : node_1--> node_2 direct edge, from node_2 conditional edge for node_3 and node_4, ultimately node_3 and node_4 will connect to END.

when i visualise, the graph looks odd seems like node_3 & node_4 left out no connection/edge for them.

please find code and graph below

from typing_extensions import TypedDict
from typing import Annotated
from langgraph.graph import StateGraph,START,END
from operator import add

class State(TypedDict):
  user_input: str
  node_output: Annotated[list[int],add]

count = 0

def first_node(state):
  print("I'm here")
  global count
  count+=1
  return {'node_output':[count]}

def second_node(TypedDict):
  print("He sent me here")
  global count
  count+=2
  return {'node_output':[count]}


def third_node(TypedDict):
  print('I was decided')
  global count
  count+=3
  return {'node_output':[count]}

def fourth_node(TypedDict):
  print("I'm here on chance")
  global count
  count+=4
  return {'node_output':[count]}

#starting graph building

builder1 = StateGraph(State)

builder1.add_node('node_1',first_node)
builder1.add_node('node_2',second_node)
builder1.add_node('node_3',third_node)
builder1.add_node('node_4',fourth_node)

builder1.add_edge(START,'node_1')
builder1.add_edge('node_1','node_2')
builder1.add_conditional_edges('node_2',decide_mood)
builder1.add_edge('node_3',END)
builder1.add_edge('node_4',END)

my_new_graph = builder1.compile()

display(Image(my_new_graph.get_graph().draw_mermaid_png()))

I was expecting the conditional edges to look like below as in dotted line, i'm not sure if i'm doing something wrong. please help.

Try this:

from typing_extensions import TypedDict
from typing import Annotated
from langgraph.graph import StateGraph,START,END
from operator import add
from IPython.display import Image, display # For visualization


class State(TypedDict):
    user_input: str
    node_output: Annotated[list[int],add]

count = 0

def first_node(state):
    print("I'm here")
    global count
    count+=1
    return {'node_output':[count]}

def second_node(TypedDict):
    print("He sent me here")
    global count
    count+=2
    return {'node_output':[count]}


def third_node(TypedDict):
    print('I was decided')
    global count
    count+=3
    return {'node_output':[count]}

def fourth_node(TypedDict):
    print("I'm here on chance")
    global count
    count+=4
    return {'node_output':[count]}

def decide_mood(state):
    current_count = state['node_output'][-1]
    if current_count % 2 == 0:
        print(f"Deciding mood: current_count {current_count} is even. Going to 'to_node_3'.")
        return "node_3"
    else:
        print(f"Deciding mood: current_count {current_count} is odd. Going to 'to_node_4'.")
        return "node_4"
    
#starting graph building

builder1 = StateGraph(State)

builder1.add_node('node_1',first_node)
builder1.add_node('node_2',second_node)
builder1.add_node('node_3',third_node)
builder1.add_node('node_4',fourth_node)

builder1.add_edge(START,'node_1')
builder1.add_edge('node_1','node_2')
builder1.add_conditional_edges('node_2',decide_mood,{
        "node_3": "node_3",
        "node_4": "node_4",
    })
builder1.add_edge('node_3',END)
builder1.add_edge('node_4',END)

my_new_graph = builder1.compile()

display(Image(my_new_graph.get_graph().draw_mermaid_png()))

Output: