Hi there... The correct gasket for your Reading Tri-Burner should be- 5/8" channel gasket with pressure sensitive adhesive on one side, the side opposite the 'channel'... Then at the rear of the grate there should be a short length (the width of the grate) of the same channel gasket having a thin metal strip running through the center of it... This is called the 'strongback'... When using the channel gasket to seal the grate, it is not necessary to use any gasket cement except maybe where the sides meet the rear strongback, put a dab of cement in each rear corner to ensure sealing... The channel gasket by itself makes a very tight seal as long as the channel cast into your grate is clean and in good shape...
Others have used gasket cement around the entire grate before and I'm sure it works just fine, but I'm not sure at what height that leaves the grate in relation to the feed ramp/carpet... The grate should be at or just a hair above the feed ramp that the back half of the carpet sits on to work at its best... I would think that with gasket cement you may find that the grate sits just a little low on what you're calling the 'stoker' and IMO, if the leading edge of the carpet does not sit down flat against the grate through its entire in/out cycle, you are just inviting fines to make a home under the carpet...
This channel gasket can be had at most stove shops or PM me and I can send enough to you to get the job done...

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- 5/8 inch channel gasket
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- Strongback
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Hope this helps...
Murdoc