Hello,
There are three kinds of verification your app may need to undergo: Brand verification, sensitive scopes verification, restricted scopes verification.
First, adding a logo to the consent screen falls in the first category, which means there is a verification process to ensure your app accurately presents it's identity and it's compliant with Google API Policy, as described
hereSecondly, the independent security audit is not required unless you request access to restricted scopes. From your description you access the email, profile and openid scopes so you'd be requesting access to the scopes below as per this
documentation :
These scopes are not included in the list of restricted scopes that could be found
here, therefore you're unlikely to undergo the security review unless you require access to other scopes not listed in your message.