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Perhaps there was no 'gap in time' between December 14 and 15. There could instead be an overlap between the old and new years, e.g. because 13 * 29 = 365 + 12:

Akleel 3 (212) 4
December 14 (348) 15
Ca10-13 (268) Ca10-14
kua tupu te mea - i te inoino ka tupu te toromiro - i te inoino
Girtab, ο Serpentis (267.6), Kelb Alrai (268.1) Kew Ho (268.6), η Pavonis (268.7), Apollyon (268.9), Muliphen (269.0), Basanismus (269.5)
June 15 (166) 16
Albatain 3 (30) 4
γ Leporis (85.9), Saiph (86.5) ζ Leporis (86.6)

Should we count December as 12, then we could count 12 * 14 respectively 12 * 15. This could have been intended, because 12 * 14 + 12 * 15 = 168 + 180 = 348 (December 14).

December as month decem, number 10 (= the number of the glyph line), could similarly from the glyph numbers generate 270 (Ca10-15) or 10 months with 27 nights in each. December is month 10 if counted from March, and March 21 (80) + 270 = 350 (and 270 = 130 + 140).

Akleel 5 6 7 (216) 8 9
December 16 17 18 19 20 (354)
Ca10-15 Ca10-16 Ca10-17 (272) Ca10-18 Ca10-19
rima heu ki te vai te moko oho mai te marama te kava manu rere
Pherkard (269.9) Rukbalgethi Genubi (271.1), ξ Herculis (271.5) Etamin, ν Herculis (271.7), ν Ophiuchi (271.8), ζ Serpentis (272.4) τ Ophiuchi (272.9) Nash (273.7), Zhōngshān (274.0)
June 17 18 19 20 21 (172)
Albatain 5 6 7 8 9 (36)
Wezn (87.6), δ Leporis (87.7), Betelgeuze (88.3) η Leporis (89.0), Praja-pāti, Menkalinan, Mahashim, and γ Columbae (89.3) η Columbae (89.7), μ Orionis (90.3), χ² Orionis (90.5)  ν Orionis (91.4) ξ Orionis (92.5)

Possibly the basic idea was to put 'Gregorian' te mea in day 348 (December 14) one day earlier than the Easter Island te toromiro because then there would be 5 days from te mea and 4 days from te toromiro to the kava glyph, where 10 * 18 = 180 and 12 * 19 = 228, and then 180 + 228 = 408:

June 20 (cfr Ca10-18) is the day before the solstice and similarly 180 + 228 = 408 is the day before Rogo in March 21 according to one of my readings of the G text.

March 20 0h (80) 22 23
Gb6-25 (408) Gb6-26 Gb6-27 Gb6-28
τ Phoenicis (363.9)  Caph, Sirrah (0.5) ε Phoenicis (0.8) Algenib Pegasi (1.8)
Saad Al Saud 10 11 (309)  12 13
July 5 (185) 7h (106.53) 7 8
Al Tuwaibe' 10 11 12 13 (53)
Alzirr (105.7), Muliphein (105.8) Wezen (107.1)  no stars listed

According to my other alternative (= reading ahead all the way from the beginning of side a to the end of side b) glyph 408 will correspond to July 5 (185) and the day before 7h.

These speculations leads to the conclusion that July 28 could be the Easter Island new year:

Alhena 4 5 6  7 (73) 8
St James' Day July 26 27 (208) 28 29
Ca5-21 (126) Ca5-22 Ca5-23 Ca5-24 Ca5-25
te Rei te manu te henua tuu te rima i ruga etoru kahi
Avior (126.4)  ο Ursa Majoris (127.4) θ Cancri (128.2), η Cancri (128.5) no star listed π¹ Ursa Majoris, δ Hydrae (129.6), Al Minhar al Shujā, Museida (129.9), Beehive (130.4), Xestus (130.5)
January 24 25 26 27 (392) 28
Al Naam 9 10 11 12 (256) 13
Peacock (308.7) Okul (309.6), Bos (309.9), ο Capricorni (310.2) φ Pavonis (311.2) ρ Pavonis (311.7), Rotanev (312.3) τ Capricorni (312.6), Svalocinm, υ Capricorni, υ Pavonis (312.8)

The toromiro glyph (Ca10-14) could be counted as 10 * 14 = 140, and then (maybe) 349 (December 15) - 140 = 209 (July 28). With July 28 written as 7-28 we could then count e.g. 72 * 8 = 576 = 12 * 48 = 4 * 144. And Ca5-25 could allude to May 25.

January 29 is RA day 314 and St James has a bivalve shell on his shoulder.

There are 146 (= 2 * 73) days from July 28 (209) to December 21:

Akleel 10   11 (220)
December 21 (355) 22
Ca10-20 (275) Ca10-21
te inoino erua
π Pavonis (274.6), ι Pavonis (275.1)   Polis (275.9)
June 22 (173) 23
Albatain 10 11 (38)
Tejat Prior (93.4)  κ Aurigae (93.6)
Akleel 12 13 (222) Qalb al Akraab 1 2 3 4
December 23 X-mas Eve X-mas Day 26 (360) 27 28
Ca10-22 (277) Ca10-23 Ca10-24 Ca10-25 Ca10-26 Ca10-27
tupu te raau i vai oka hia te moko te marama te kava manu kara etahi te mauga pu hia
η Sagittarii (276.9), Kaus Medius, κ Lyrae (277.5) Tung Hae (277.7), Kaus Australis (278.3), ξ Pavonis (278.4) Al Athfar (278.6), Kaus Borealis (279.3) ν Pavonis (280.4) κ Cor. Austr. (280.9), θ Cor. Austr. (281.0) Vega (281.8)
June 24 25 26 27 28 29 (180)
Albatain 12 13 (40) Al Tuwaibe' 1 2 3 4
Furud (94.9), Tejat Posterior, Mirzam (95.4) Canopus (95.6), ψ1 Aurigae (95.9) no stars listed ν Puppis (99.2), ψ3 Aurigae (99.4), ψ2 Aurigae (99.5) ψ4 Aurigae (100.5)

December 21 at Ca10-20 ought to be counted as 12 * 21 = 252 = 7 * 36, because the next glyph is Ca10-21 - implying that here December was meant as the 10th month. 10 * 21 = 7 * 30.

The very bright Vega (0.03) was rising with Sun in day 180 + 182 = 362 from January 1.