Archie:
+ Experience (as the core Mobian within the Freedom Fighters, Archie has the expertise of fighting just as many varied opponents as his Game counterpart terms of combat from being on the front-lines against the majority of their foes)
+ Passive Damage Reduction (Archie has this thanks to all the Power Rings he gathered, making him inherently tougher to put down and a glutton for punishment)
+ Power Rings (With these, Archie can Stat Amp himself and has BFR with a range beyond away Game would be able to come back from, as he has 3 2-A structures [base multiverse, Mega Man's multiverse, Maginaryworld] and then actual Low 1-C range as well. This is the most potent option Archie could actually lean into quickly)
++ Fate Manipulation (Archie's most potent passive, preventing permanent means of incap or death)
+++ Type 8 Immortality (Archie's biggest asset, ensuring that nothing Game does permanently puts an end to him)
Game:
+ Skill (Where Archie has the experience, Game has the sheer skill to easily keep up with his comic counterpart. Things such as the Egg Dragoon and Emerl are proof of this)
+ Stats (Superior in all of his stats, including Lifting Strength)
+ Versatility (Item Boxes, Invincibility Monitors, Caliburn, Shahra'a Ring, and all the versatility that comes with the perks of being a video game character)
++ 4x Reaction Speed (Due to the consistency of reacting to the V. Maximum Overdrive Attack, Game will have more time to react to Archie than vice versa. And with speedsters, every moment counts)
+++ Amps (The Spin Dash, Drop Dash, Super Peel Out, and Boost ALL provide a 346x amp, allowing Game to counteract Archie's passive Fate Manipulation by being what is essentially as close to an untouchable force as he can be. These give Game a level of battlefield control leagues better than Archie)
Archie has easier wincons (BFR with greater range with both Chaos Control and Power Rings), but is countered by Game's versatility, superior stats, and amps to both counter and overwhelm Archie's own. Tough fight, leaning towards Game here.