Isn't the 3 Body Problem non-deterministic in classical physics? or am I misunderstanding it? example of a possible misunderstanding might be (don't know if t

Isn't the 3 Body Problem non-deterministic in classical physics? or am I misunderstanding it? example of a possible misunderstanding might be (don't know if the follow statement is true), its only non deterministic due to our inability to calculate the initial conditions exactly, but if we could calculate the initial conditions exactly, it would no longer be non-deterministic. It's only from modern physics (i.e. not classical), that we understand that its impossible to measure the initial conditions exactly, classical physics might have expected that its simply due to lack of ability, vs impossibility.