Minha abordagem

Arquivo Sortition.tsx

import { useState } from "react"
import Card from "../components/Card"
import { useListParticipants } from "../state/hook/useListParticipants"
import { useResultSortition } from "../state/hook/useResultSortition"

import './Sortition.css'

const Sortition = () => {
    const participants = useListParticipants()
    const [participantTurn, setParticipantTurn] = useState('')
    let [secretFriend, setSecretFriend] = useState('')
    const result = useResultSortition()
    const sort = (event: React.FormEvent<HTMLFormElement>) => {
        event.preventDefault()
        if (result.has(participantTurn)) {
            setSecretFriend(result.get(participantTurn)!)
            // Add Timeout to clear secretFriend after using
            setTimeout(() => {
                setSecretFriend('')
            }, 5000)
        }
    }
    return(
        <Card>
            <section className="sortition">
                <h2>Quem vai tirar o papelzinho?</h2>
                <form onSubmit={sort}>
                    <select 
                        required
                        name="participantTurn"
                        id="participantTurn"
                        placeholder="Selecione o seu nome"
                        value={participantTurn}
                        onChange={event => setParticipantTurn(event.target.value)}
                    >
                        <option>Selecione seu nome </option>
                        {participants.map(participant => <option key={participant}>{participant}</option>)}
                    </select>
                    <p>Clique em em sortear para ver quem é seu amigo secreto!</p>
                    <button className="button-sortition">Sortear</button>
                </form>
                {secretFriend && <p className="result" role="alert">{secretFriend}</p>}
                <footer className="sortition">
                    <img src="imagens/aviao.png" className="plane" alt="Um desenho de um avião de papel" />
                </footer>
            </section>
        </Card>
    )
}

export default Sortition

New testcase in Sortition.test.tsx

        test('When user request to see secret Friend Then the secret friend is displayed and disapear 5 second later.', () => {
            jest.useFakeTimers()
            const select = screen.getByPlaceholderText('Selecione o seu nome')
            fireEvent.change(select, {
                target:{
                    value: participants[0]
                }
            })
            const button = screen.getByRole('button')
            fireEvent.click(button)
            let secretFriend = screen.queryByRole('alert')

            expect(secretFriend).toBeInTheDocument()
            act(() => {
                jest.runAllTimers()
            })
            secretFriend = screen.queryByRole('alert')
            expect(secretFriend).not.toBeInTheDocument()
        });