3. The Sign of Sirius in the mouth of the Great Dog may be there to indicate a reversal of the 'mouth of the River'. We should remember (cfr at Pachamama):

... The Mahabharata tells in its own style why the 'heavenly Ganga' had to be brought down. At the end of the Golden Age (Krita Yuga) a class of Asura who had fought against the 'gods' hid themselves in the ocean where the gods could not reach them, and planned to overthrow the government. So the gods implored Agastya (Canopus, alpha Carinae = Eridu) for help. The great Rishi did as he was bidden, drank up the water of the ocean, and thus laid bare the enemies, who were then slain by the gods. But now, there was no ocean anymore! Implored by the gods to fill the sea again, the Holy One replied: 'That water in sooth hath been digested by me. Some other expedient, therefore, must be thought of by you, if ye desire to make endeavour to fill the ocean ...

I think Sirius is the one who replenishes the water in the ocean, because he causes the River to rise and all its waters will then once again go down to the ocean. The circulation is assured.

... the seasonal cycle, throughout the ancient world, was the foremost sign of rebirth following death, and in Egypt the chronometer of this cycle was the annual flooding of the Nile. Numerous festival edifices were constructed, incensed, and consecrated; a throne hall wherein the king should sit while approached in obeisance by the gods and their priesthoods (who in a crueler time would have been the registrars of his death); a large court for the presentation of mimes, processions, and other such visual events; and finally a palace-chapel into which the god-king would retire for his changes of costume ...

... Pliny wants to assure us that 'the whole sea is conscious of the rise of that star, as is most clearly seen in the Dardanelles, for sea-weed and fishes float on the surface, and everything is turned up from the bottom'. He also remarks that at the rising of the Dog-Star the wine in the cellars begins to stir up and that the still waters move ...

... the modern Homo occidentalis is bound to shrink back from the mere idea that the Nile represented a circle, where 'source' and 'mouth' meet, so that there is nothing preposterous in the notion that a Canopic mouth can be found in the geographical North ...

If Sirius is alluded to in the drawing with the rudder's helm in the mouth of the Great One at the stern of the Ship, then we can guess this smiling face is Sun in his 'Canopus garment' (the 32nd and last station of a 'year' with 6 * 32 = 192 days, corresponding to the last of the Sumerian cities), who is 'swallowing' the 'helm' (the 'water' originating with Sirius):