Detective Game: Find the Culprit

I took a short break from coding because I went on vacation. Today I came back and made a small detective game in Python. The goal is to investigate the crime, find evidence, talk to suspects, and find the culprit ıf I made any mistakes or there is anything I could improve, I would really appreciate your feedback and help!

def start_game():
    print("=== The Mystery ===")
    print("A crime happened last night.")

    name = input("Detective, what is your name?: ")
    print("Welcome", name)
    print("Your mission is to find the truth.")

    print("\nThere are three suspects:")
    print("1. Kai")
    print("2. San")
    print("3. Hae-in")

    choice = input("Who do you want to investigate?: ")

    if choice == "1":
        print("You chose Kai.")

    elif choice == "2":
        print("You chose San.")

    elif choice == "3":
        print("You chose Hae-in.")

    else:
        print("Invalid choice.")

    while True:
        print("\nWhat do you want to do?")
        print("1. Investigate the crime scene")
        print("2. Talk to suspects")
        print("3. Check evidence")
        print("4. Make an accusation")
        print("5. Exit")

        choice = input("Choose: ")

        if choice == "1":
            print("\nYou investigate the crime scene.")
            print("You found a strange key.")

        elif choice == "2":
            print("\n=== SUSPECTS ===")
            print("1. Kai")
            print("2. San")
            print("3. Hae-in")
            print("4. Back")

            suspect = input("Who do you want to talk to? ")

            if suspect == "1":
                print("\nKai: I was at the cafe last night.")
                print("Kai looks nervous.")

            elif suspect == "2":
                print("\nSan: I was at home all night.")
                print("San seems calm.")

            elif suspect == "3":
                print("\nHae-in: I left the building at midnight.")
                print("Hae-in avoids your questions.")

            elif suspect == "4":
                print("\nGoing back to the main menu.")

            else:
                print("\nInvalid choice.")

        elif choice == "3":
            print("\nYou check the evidence.")
            print("You found a note with a mysterious symbol.")

        elif choice == "4":
            print("\n=== MAKE AN ACCUSATION ===")
            print("1. Kai")
            print("2. San")
            print("3. Hae-in")
            print("4. Back")

            accusation = input("Who is the culprit? ")

            if accusation == "1":
                print("\nYou solved the mystery!")
                print("Kai was the culprit!")
                break

            elif accusation == "2":
                print("\nWrong accusation!")
                print("San was innocent.")

            elif accusation == "3":
                print("\nWrong accusation!")
                print("Hae-in was innocent.")

            elif accusation == "4":
                print("\nGoing back to the main menu.")

            else:
                print("\nInvalid choice.")

        elif choice == "5":
            print("\nGoodbye, detective!")
            break

        else:
            print("\nInvalid choice.")


start_game()