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Castor and Pollux ought to be present also in the C text and I decide to cover the ground between Sirius (June 30) and Naos (July 20). Metoro's erua tamaiti could refer to Gemini.

I will below redpaint the names of the Gemini stars:

Al Tuwaibe' 6 7 8 (413) 9 (49)
July 1 2 3 4 (185)
(178) (179) (180) (181)
Ca4-26 (102) Ca4-27 Ca4-28 Ca4-29
erua tamaiti kua vaha te mago erua
ψ6 Aurigae (101.7),  τ Puppis (102.2), ψ7 Aurigae (102.4)  ψ8 Aurigae (103.2) Alhena (103.8), ψ9 Aurigae (103.9) Adara (104.8), ω Gemini (105.4)
Al Tuwaibe' 10 (50) 11 12 13
July 5 (186) 6 7 8
Ca5-1 Ca5-2 (107) Ca5-3 Ca5-4
E hua ki te henua - ka huki te hau tea - te henua kua hua te henua
Muliphein (105.8) Wezen (107.1) no stars listed

Muliphein and Wezen are stars in Canis Major (γ respectively δ), and both Ca5-1 and Ca5-2 appear to indicate a 'break' in time. 107 = 472 - 365. And not until July 10 with Aludra (η Canis Majoris, the last star assigned a Greek letter in the constellation) seems the influence of Sirius to abate.

With the beginning of the Heka manzil there arrives a pattern of reflection. Te mago erua (the sharks, two of them) becomes erua mago (two sharks), and corresponding to te mago erua the following pair is te hokohuki erua:

Heka 1 2 3 4 (57)
July 9 10 11 12 (193)
Ca5-5 Ca5-6 (111) Ca5-7 Ca5-8
kua iri i te rakau ihe tamaiti erua mago
Wasat (109.8) Aludra (111.1) Gomeisa (111.6), ρ Gemini (112.1) Castor (113.4)
Heka 5 6 7 (60) 8 9
July 13 14 15 (196) 16 17
Ca5-9 Ca5-10 Ca5-11 (116) Ca5-12 Ca5-13
te hokohuki erua te marama te maitaki te henua
no star listed Markab (114.7), Procyon (114.9) σ Gemini (115.7), Pollux (116.2) Azmidiske (117.4) no star listed
Heka 10 11 (64)
July 18 19 (200)
Ca5-14 Ca5-15 (120)
kua haga te mea ke manu puoko i tona ahi
no star listed χ Carinae (119.9)

Pollux, the immortal twin, is the last of the major Gemini stars in my list (I have not so far listed the very last stars π, φ, and χ) and the first star to rise in Gemini is Tejat Prior:

Albatain 10 11 (403) 12  13 (40)
June 22 23 (St John's Eve) 24 (St John's Day)  25
Ca4-17 Ca4-18 (94) Ca4-19 Ca4-20
te hau tea tupu te rakau - te henua te hau tea tupu te rakau
 Tejat Prior (93.4)  κ Aurigae (93.6) Furud (94.9), Tejat Posterior, Mirzam (95.4) Canopus (95.6)
Al Tuwaibe' 1 2 3 4 (409) 5 (45)
June 26 (177) 27 28 29 (180) 30
Ca4-21 Ca4-22 Ca4-23 Ca4-24 (100) Ca4-25
ihe pepe rere ka rere ki tona nohoga te moko manu rere tupu te rakau
no stars listed ν Puppis (99.2), ψ3 Aurigae (99.4) ψ2 Aurigae (99.5) ψ4 Aurigae (100.5), Mebsuta (100.7),  Sirius (101.2), ψ5 Aurigae (101.4)

It seems probable Gemini 'makes itself felt' already in June 22, the day after the solstice. The pair of hau tea glyphs are identical and together and between them they indicate manzil day 403 (possibly alluding to Sirius because 63 + 403 - 365 = 101, the number of its RA-day). Therefore κ Aurigae (Ca4-18) and Sirius a week later could together mark the 'door' to Gemini.

In Ca4-18 the 'Tree' (rakau) is at left and inserted into a henua, which grows from a 'winter' shape (a cup line at bottom) to a straight 'land' shape at the top. Gemini once marked the arrival of spring:

... Men's spirits were thought to dwell in the Milky Way between incarnations. This conception has been handed down as an Orphic and Pythagorean tradition fitting into the frame of the migration of the soul. Macrobius, who has provided the broadest report on the matter, has it that souls ascend by way of Capricorn, and then, in order to be reborn, descend again through the 'Gate of Cancer'. Macrobius talks of signs; the constellations rising at the solstices in his time (and still in ours) were Gemini and Sagittarius: the 'Gate of Cancer' means Gemini. In fact, he states explicitly (I,12.5) that this 'Gate' is 'where the Zodiac and the Milky Way intersect' ...

Today the intersection moved to 6h, which on Easter Island coincided with winter solstice:

Albatain 6 (33) 7 (399) 8 9
June 18 19 20 21 (172)
Ca4-13 Ca4-14 Ca4-15 Ca4-16 (92)
kua tuu tona mea te henua te hau tea mauga hua - te henua
η Leporis (89.0), Praja-pāti, Menkalinan, Mahashim, and γ Columbae (89.3)  η Columbae (89.7), μ Orionis (90.3) 6h (91.3) ξ Orionis (92.5)
χ² Orionis (90.5), ν Orionis (91.4)