The silicone receiver that joins the water tank is the culprit of the leak. I used, "Oatey Silicon Grease" to restore the silicon seal. Available at many good DIY stores for under $3.
Place a dab of the grease (nasty sticky stuff, but food grade quality) on the water tank feed, where it mounts to the coffee maker. Remove the water tank and reinsert a couple of times to spread the grease.
Fill her up, put the pot on a dry surface and check for leaks.
That should've done it.
The silicon isn't actually broken, but wears at the point the water tank is attached. Silicon seals should be regreased annually to preserve their sealing characteristics.