Ok, my answer:
6 different cases:
: god 1, god 2, god 3
1- Truth, Lie, Random
2- Truth, Random, Lie
3- Lie, Random, Truth
4- Lie, Truth, Random
5- Random, Truth, Lie
6- Random, Lie, Truth
Ask god 1 "What random god will answer to question Q in this moment?":
If god 1 answer, god 1 is...