A booking link is a public page where someone picks a slot you are actually free for. It replaces the "does Tuesday work?" thread.
Two things together: your working hours, and your connected calendar. A slot is offered only when it is inside your hours and nothing else occupies it.
If slots look wrong, the cause is almost always one of those two rather than the link itself. See Working hours and availability.
Put the URL in your email signature, on a page, or send it in a message. The person opening it needs no account.
Related: Working hours and availability · Video meetings: Zoom, Meet and Teams · Connect Google Calendar