Is it permissible to play a game online that hosts a homosexual party and contributes to it with symbols and icons specific to them, knowing that this event is rejected and denied to the manufacturing company?

If the game is free from শরীʿআ (Islamic law) prohibitions, such as not distracting from obligatory duties, and being free from anything that violates creed, or gambling, or promoting forbidden things, or inciting enmity and hatred, and it contains nothing related to perversion, then there is no sin in playing it. The fact that the company supports homosexuality does not entail sin upon the player.