Creating a free booking page when already part of paid team plan

I was invited to join a Calendly team plan for one project using my work email address. I’ve now started a second project with a different organization, and they’ve asked me to create a free Calendly account so I can set up a booking page for interviews.

Both projects use different organizations, but I understand that my work email address can only be associated with one Calendly account.

My question is: since my existing Calendly account is part of a team plan that is paid for by the first organization, would the first organization be billed for the booking page I create and use for the second project? If not, how do I set up a booking page so that the first organization is not billed for activities of my second project?

I want to make sure the second project doesn’t inadvertently create a charge for the organization that pays for my existing team plan. Any clarification would be appreciated!