If you'd like to send gifts by spending Team Funds in the Team Balance, you have 3 options:
The Team Admin can manually transfer funds from Team Balance to each Team Member's Available Balance (learn more).
The Team Admin can set up automatic monthly fund transfers from the Team Balance to each member's Team Member Available Balance (learn more).
The Team Admin can give the team member(s) access to spend Team Balance (learn more).
Even if you are the Team Admin, you are simply using your Team Member account when sending gifts, like any other Team Member. Meaning you'll need to follow one of the steps above.