AWS Cognito - How to create pool allowing sign up with email address, using CloudFormation?

Question

I am attempting to create a UserPool using CloudFormation syntax, but I am unable to find which property I need to set in order to create the pool with email address sign up. How do I specify this?

As you can see in the screenshot, by default the pool is created with Usernames.

Here's my current pool config;

MyPool:
  Type: "AWS::Cognito::UserPool"
  Properties:
    Schema:
      - Name: sub
        StringAttributeConstraints:
          MinLength: '1'
          MaxLength: '2048'
        DeveloperOnlyAttribute: false
        Required: true
        AttributeDataType: String
        Mutable: false
      - Name: name
        StringAttributeConstraints:
          MinLength: '0'
          MaxLength: '2048'
        DeveloperOnlyAttribute: false
        Required: false
        AttributeDataType: String
        Mutable: true
      - Name: updated_at
        NumberAttributeConstraints:
          MinValue: '0'
        DeveloperOnlyAttribute: false
        Required: false
        AttributeDataType: Number
        Mutable: true
    UserPoolName: ${self:provider.environment.PARTNER_POOL}
    EmailVerificationMessage: 'Please click the link below to verify your email address.
        {####} '
    EmailVerificationSubject: Your verification link
    SmsAuthenticationMessage: 'Your authentication code is {####}. '
    DeviceConfiguration:
      ChallengeRequiredOnNewDevice: false
      DeviceOnlyRememberedOnUserPrompt: false
    AdminCreateUserConfig:
      InviteMessageTemplate:
        EmailMessage: 'Your username is {username} and temporary password is {####}. '
        EmailSubject: Your temporary password
        SMSMessage: 'Your username is {username} and temporary password is {####}. '
      UnusedAccountValidityDays: 7
      AllowAdminCreateUserOnly: false
    EmailConfiguration: {}
    AutoVerifiedAttributes:
      - email
    Policies:
      PasswordPolicy:
        RequireLowercase: false
        RequireSymbols: false
        RequireNumbers: true
        MinimumLength: 8
        RequireUppercase: false
    AliasAttributes:
      - email

Answer 1

The ability to configure user pool with the new SignUp flow options is not yet supported through CloudFormation. The parameter that is used to specify the email or phone number only options is UsernameAttributes.

We will add this as a +1 to the feature request to support this with CloudFormation.