Most session types on a booking page face outward, toward clients. A Team Meeting faces inward: a slot colleagues, direct reports, or other teams can grab without a scheduling thread in Slack. The same mechanics that stop client scheduling emails work exactly as well internally.
When a booking link beats a recurring invite
A standing weekly meeting is well served by a recurring calendar invite; nobody needs a booking page for that. A Team Meeting session type earns its keep for the irregular case: manager office hours, an ad hoc sync with another team, a slot that exists most weeks but is not owned by any one person's calendar. If the meeting is always the same people at the same time, skip this and use a normal invite.
Set it up as its own session type
Keep it separate from client-facing sessions rather than mixed into the same list, so your public page stays focused on what clients actually book. For company accounts, this usually lives on a member's own page rather than the shared front page; the setup is the same one covered in team scheduling software: a practical guide.
Keep it lightweight
Internal bookings do not need the same reminder intensity as a client session, but calendar sync still matters just as much, an internal double booking is just as disruptive as an external one. Set one up and share the link in whatever internal channel replaces the old scheduling thread.