How to verify user email after sign?

I implemented signup flow and i am getting temporary password for login after login i am getting session token and set user password with session token but after setting the password. it show status confirmed but email: not verified

Below is the Signup, login and setpassword after first login>

Signup

import { CognitoIdentityProviderClient, AdminCreateUserCommand } from '@aws-sdk/client-cognito-identity-provider';

const config = {
	region: 'ap-southeast-2', // Replace with your desired region
	credentials: {
		accessKeyId: 'accesKey', // Replace with your AWS Access Key ID
		secretAccessKey: 'SecrectAccessKey', // Replace with your AWS Secret Access Key
	},
};

export async function registerUser(request) {
	if (request.method === 'POST') {
		const requestBody = await request.text();
		const body = JSON.parse(requestBody);

		const { email, password, clientId, userPoolId } = body;

		const client = new CognitoIdentityProviderClient(config);

		const input = {
			UserPoolId: userPoolId,
			Username: email,
			// Password: password, // Temporary password for first-time login
			UserAttributes: [
				{
					Name: 'email',
					Value: email,
				},
			],
			// Add more properties as needed
		};

		const command = new AdminCreateUserCommand(input);

		try {
			const response = await client.send(command);
			console.log(response);
			console.log('User created successfully:', response);
			return new Response(JSON.stringify({ message: 'User created successfully', user: response }), {
				status: 200,
				headers: { 'Content-Type': 'application/json' },
			});
		} catch (error) {
			console.error('Error creating user:', error);
			return new Response(JSON.stringify({ error: 'User creation failed' }), {
				status: 500,
				headers: { 'Content-Type': 'application/json' },
			});
		}
	} else {
		return new Response('Invalid request method', { status: 405 });
	}
}

Login After signup

import { CognitoIdentityProviderClient, AdminInitiateAuthCommand } from '@aws-sdk/client-cognito-identity-provider';

const config = {
	region: 'ap-southeast-2', // Replace with your desired region
	credentials: {
		accessKeyId: 'accesKey', // Replace with your AWS Access Key ID
		secretAccessKey: 'SecrectAccessKey', // Replace with your AWS Secret Access Key
	},
};

export async function loginUser(request) {
	if (request.method === 'POST') {
		const requestBody = await request.text();
		const body = JSON.parse(requestBody);

		const { email, password, clientId, userPoolId } = body;

		const client = new CognitoIdentityProviderClient(config);

		const authParams = {
			AuthFlow: 'ADMIN_USER_PASSWORD_AUTH', // Use this for admin-initiated authentication
			ClientId: clientId,
			UserPoolId: userPoolId,
			AuthParameters: {
				USERNAME: email,
				PASSWORD: password,
			},
		};

		const authCommand = new AdminInitiateAuthCommand(authParams);

		try {
			const authResponse = await client.send(authCommand);

			// Extract the authentication token from the response and return it
			const authToken = authResponse.AuthenticationResult;

			return new Response(JSON.stringify({ message: 'Login successful', token: authResponse }), {
				status: 200,
				headers: { 'Content-Type': 'application/json' },
			});
		} catch (error) {
			console.error('Login error:', error);
			return new Response(JSON.stringify({ error: 'Login failed', object: error }), {
				status: 401,
				headers: { 'Content-Type': 'application/json' },
			});
		}
	} else {
		return new Response('Invalid request method', { status: 405 });
	}
}

Reset Password after first login (Force change password)

import { CognitoIdentityProviderClient, ConfirmForgotPasswordCommand } from '@aws-sdk/client-cognito-identity-provider';

const config = {
	region: 'ap-southeast-2', // Replace with your desired region
	credentials: {
		accessKeyId: 'accesKey', // Replace with your AWS Access Key ID
		secretAccessKey: 'SecrectAccessKey', // Replace with your AWS Secret Access Key
	},
};

const client = new CognitoIdentityProviderClient(config);

export const setPassword = async (req) => {
	if (req.method === 'POST') {
		const requestBody = await request.text();
		const body = JSON.parse(requestBody);
		const { clientId, email, otp, newPassword } = body;

		try {
			const confirmForgotPasswordParams = {
				ClientId: clientId,
				ConfirmationCode: otp,
				Password: newPassword,
				Username: email,
			};
			const confirmForgotPasswordCommand = new ConfirmForgotPasswordCommand(confirmForgotPasswordParams);

			const result = await client.send(confirmForgotPasswordCommand);
			return new Response(JSON.stringify({ message: 'password updated successfull', result }), {
				status: 200,
				headers: { 'Content-Type': 'application/json' },
			});
		} catch (error) {
			return new Response(JSON.stringify({ error: 'password updation failed', object: error }), {
				status: 401,
				headers: { 'Content-Type': 'application/json' },
			});
		}
	} else {
		return new Response('Invalid request method', { status: 405 });
	}
};

I After setting password email is still not verified check image below.

Basically my need is to signup user and when setting password i need to verify user email also. but not able to do so.