Yes.
Rather than saying this game, whose outcome had long since been decided, was a scheme in which Odin and the reality universe teamed up to trap Lake, it would be more accurate to say that the reality universe had seized the opportunity to use this chance to trap Odin.
In a word.
Whatever one takes from the world, one must pay the price!
The price was a fundamental law that both the World Tree Universe and the reality universe had to obey. Lake did not need to follow it, because his fundamental law was plunder.
So...
Odin had definitely paid a price for making such a deal with the reality universe.
As for the price paid by Lake and the reality universe, it had already been settled when Lake used the Time Stone.
Simply put.
Lake and the reality universe had already completed their transaction. Neither owed the other anything.
But Odin was different.
First of all, Odin had needed to persuade the reality universe to act, and he had to pay a price for that. Moreover, convincing the reality universe to scheme against a Celestial required him to pay an equivalent price.
"Let me guess."
With the matter settled, Lake was no longer in a hurry. Besides, he enjoyed kicking people when they were down. Smiling at Odin's shifting expression, he curled up the corners of his mouth in utter mockery. "When you first agreed on the price with the reality universe, you probably offered me as the payment, right? Unfortunately, you failed. In other words..."
After a pause.
Lake took a few steps forward and approached Odin, staring straight into his single eye. His expression remained indifferent. "I won. You lost. So your life has to go to the reality universe."
The flames in Odin's single eye