Given the “18” tag and the ambiguity of “the dog game”:

There is no officially published game titled simply The Dog Game. However, several cult or obscure games fit the description:

Here’s a ready-to-use description for a video or mod:

Title: MaxD 18 – The Dog Game 4: New Avatar 001
Description:
Welcome to the first look at the new avatar in The Dog Game 4! This update (MaxD 18) introduces custom animations and improved fur shading.
📁 File: maxd_18_dog_game_4_new_avi_001.avi
🐕 Features:

How to use:
Place the AVI in the game’s videos folder or import into your video editor. For modding, rename to match your game’s avatar file.