How many Iteration before Collision? Kangaroo Like

[JackMazzoni]

Estimate how many iteration needed to collide. This is not traditional kangaroo. The Wild can move forward and backward. The Tame can move forward and backward. The problem is 135 bit puzzle. Total Wild is 1.9 trillion  and Tame is 1.9 trillion.  Wild to wild not possible and tame to tame is also not possible. Only Tame and Wild can collide. Not using distinguished points.  Estimate how many iteration or average iteration to collide wild and tame? Does birthday paradox still applies? I tried with 5 different AI, all different answers.

[snaz3d]

I think 12

[JackMazzoni]

I think 12

I think that is too low. Collision happens only to wild and tame.