I'll definitely say that this was a good deal funnier then the first two. I like the Mr. Yee character, a clueless, spontaneous boss in the same vain as Mr. Larrity and Denholm Reynholm (of Code Monkeys and The IT Crowd respectively). If this is the sort of thing you're looking for, I'd recommend looking to those shows and specifically the those characters for inspiration. Knoking Mr. Yee's crazy Capitalist level up to 11 could really bring out a memorable, funny character.
I continue seeing parallels in character design between Game Dogs and Code Monkeys. Roger and Chet bear very strong similarities to Dave and Jerry, save the extreme nature of the characters have been seriously scaled back to a point where people can neither identify with nor laugh at them. I'm not suggesting making the characters stereotypes, but for the most part they're not characterized strongly enough to do humor with. We need to understand their personalities and laugh at the way they react to a situation based upon the viewer's understanding of them.
The ill-informed idea of making a game to feed off misinformation about modern gaming culture is a very funny idea and I appluad the writer(s): thats a stroke of genius I wish I had thought of. The joke(s) just needs to be delivered in a more humorous fashion. In it's current form, the show moves far too slowly and the audience has time to figure out the punchline before the snail's-pace delivery is halfway through,with dialogue feeling drawn-out and awkward, the viewer straining to get to the punchline. Tighten up delivery and, if I understand your brand of humor, rachet up the character delivery and voicework. Chet is a well-meaning but abused and mistreated geek (or you could go the Todd route [Code Monkeys] like you did in the D&D episode). Roger is a dog with talent and ideas, but a slacker and smart-ass (currently stuck in the uncanny valley between stoner and straight-man surrogate). Bethany, a character reminiscient [a copy] of Mary (seriously?! How much are ya'll gonna copy Code Monkeys?) needs to play up her abilities, only to be shot down by highly misogynistic derision (look to Code Monkeys for what to do with her anger if thats your angle). I wanna see Gary get much more pissed off and explode with anger. In this case, look less to Code Monkeys and more to the relationship between Church and Caboose in Red vs. Blue (i.e. start off highly frustrated and build until you get an insane volcano!). Mr. Yee needs his madness and such rocketed up, faster, better articulated delivery, look to Mr. Larrity and Denholm Reynholm and you can't go wrong.
Honestly, I don't see the show in it's current form being very funny. Its definitely in need of writers going back to basics and first figuring out what the show is before further progression. I'll continue to tune in weekly in the hopes that you get over your post-pilot stumbles and hit the ground with your brand of comedy.