I have been working on my research as a student at Wilbur Wright College on Topological Complexity. We solved the problem of two robots moving on a circle and letter $T$ using Farber's theorem but having difficulty finding $TC$ for two robots moving on a number $8$. Our group founded $2 \leq TC \leq 3$ using Farber's theorem.
What will be the exact $TC$ for one/two robots moving on a number $8$ using Farber's theorem?
(Note: We founded configuration space for two robots moving on $8$ is a bouquet of seven circles(seven petals)