Branding a whitelabel site based on members email

HI guys,

I’m wondering if there is a way with custom code or within Webflow Memberships to change the branding of a site based on the users email address or another identifier on their member sign in.

This branding change only needs to go as far as changing the logo in the nav, no font/colour changes etc. Just the image in the nav.

I’ve seen that a user can upload a file within the user account section but cannot work out a way to pull this to the nav or if it is even possible.

I haven’t shared the read only link of this project as the client does not want me to.

Any help will be much appreciated.