If it has a circle it's not a pivot.
If the circle is clear it's free to change direction, if the circle is filled with a color it's one burn to enter and then change direction (assuming there's a choice of course)
Thanks for pointing that out! I was led astray by the legend that I thought implied that Lagrange circles were different than burn circles and the space I mentioned having "just" the burn graphic. I think I'll just explain it to the other players that you can always leave a circle from any direction except where you entered and ignore the differentiation into burns and Lagranges. Then regular burns on lines become a trivial cases of the rule.