Question: What game do stuffed animals in Knights of the Dinner Table play?

Context paragraphs:
Stuffed toy: A stuffed toy is a toy sewn from a textile, and stuffed with a soft material.  In North American English they are variously referred to as plush toys, plushies, snuggies, stuffies, snuggled animals or stuffed animals while in British English they are soft toys or cuddly toys.

HackMaster: HackMaster is a fantasy role-playing game produced by Kenzer & Company.  It began as a fictional game, a parody of the most ludicrous aspects of "D&D" played by the characters of the "Knights of the Dinner Table" comic strip by Jolly R. Blackburn.  The characters in the comic began playing fictional "HackMaster 3rd Edition", which was updated and published in 2001 as a numerously revised 4th edition.  It has been hinted the name of the game was originally changed for copyright reasons.

Beanie Babies: Beanie Babies are a line of stuffed animals, made by Ty Warner Inc., which was later renamed as Ty Inc. in November 1991.  Each toy is stuffed with plastic pellets (or "beans") rather than conventional stuffing (see PVC and PE), giving Beanie Babies a flexible feel.  In a rare interview the publicity-averse Warner said "The whole idea was it looked real because it moved."  During the later half of the 1990s the toy emerged as a major fad, collected not only as a toy but also as a financial investment due to high resale value of some Beanie Baby toys.

Knights of the Dinner Table Illustrated: Knights of the Dinner Table Illustrated (a.k.a. "K.ILL") is a comic book created by Jolly R. Blackburn and is published by Kenzer & Company.  It portrays many of the same stories as Knights of the Dinner Table (KODT) but from the point of view of the player characters themselves.

Ty Classic: Ty Classic Plush are a line of popular stuffed animals, made by Ty Warner Inc., which was later renamed as Ty Inc. in 2000.  Each toy is lightly stuffed which allowed them to be posable rather than the traditional rigid singular pose and the feet of each toy has cloth lined bean bags made with either (see PVC and PE) pellets giving the plush an anchor to hold their pose.

Plushophilia: Plushophilia (from "plushie" and "-philia") is a paraphilia involving stuffed animals.  Plushophiles are sometimes called "plushies", although this term (plushies) can also refer to non-sexual stuffed animal enthusiasts, and to stuffed animals in general.

Knights of the Dinner Table: Knights of the Dinner Table (KoDT) is a comic book/strip created by Jolly R. Blackburn and published by Kenzer & Company.  It primarily focuses on a group of role playing gamers and their actions at the gaming table, which often result in unfortunate, but humorous consequences in the game.  The name is a parody of King Arthur's round table reinforced by the truism that roleplaying aficionados often end up sitting round their host's dinner table as it is the only one large enough to accommodate the party (4 to 8 people typically).

Puffalump: The Puffalumps were stuffed animals created by Fisher-Price in 1986.  They were lightweight stuffed animals made of parachute material and filled with poly-fil stuffing.  Over the years, Fisher-Price released several different lines within the Puffalump brand, including the Puffalump Pets, Baby Puffalumps, Wild Puffalumps, Barnyard Puffalumps, Puffalump Kids, Jungle Juniors, and Care for Me Puffalumps.  Special Puffalumps were occasionally released to commemorate holidays such as Easter, Christmas, and Valentine's Day.

Fuzzy Knights: Fuzzy Knights was an online comic created by Noah J.D. Chinn and published by Kenzer & Company.  It starred stuffed animals who enjoy role-playing games such as "HackMaster" and "Dungeons & Dragons".  What started out as a simple one-shot tribute to the Kenzer gamer comic series, Knights of the Dinner Table, turned into a cult hit that continues to gain new fans.  Gary Gygax, co-creator of Dungeons & Dragons, was an admitted fan of the Fuzzy Knights and wrote a promo for the trade-paperbacks (see below).

Build-A-Bear Workshop: Build-A-Bear Workshop, Inc. is an American retailer headquartered in Overland, Missouri, that sells teddy bears and other stuffed animals. Customers go through an interactive process in which the stuffed animal of their choice is assembled and customized during their visit to the store.  Build-A-Bear Workshop is the largest chain that operates in this style.  The company has been acclaimed for the quality of its working environment, especially as a workplace for teenagers.

Supporting paragraphs: Fuzzy Knights HackMaster
Answer: HackMaster