'extensions' => [
    'auth-recaptcha' => [
        // set to false if you want to disable this extension
        'enable' => true,
        // set to false if you want to disable icon
        'iconDisplay' => true,
        // reCAPTCHA:v3 keys  
        'siteKey' => 'your google reCAPTCHA site key',
        'secretKey'  => 'your google reCAPTCHA secret key',
    ]
],

'excepts' => [
    'auth/login',
    'auth/logout',
    // add
    'auth/api/recaptcha' 
],