If I invite new team members to Hubhopper, do I need to purchase another lifetime deal that would include those team members? | AppSumo lifetime deal

No, you can invite anyone to your podcast project team regardless of their account's subscription status. All invitees will be able to access your team via their respective Hubhopper accounts for free.

As you are the subscription holder, the access to 'Your Team' is managed by your account only.