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The number of days and dates for each manzil ought to be adjusted to what Ibn 'Arab may have used. The following is, though, only an outline for our discussion:

Manzil Begins on Number of days Stars
22 Al Sa’d al Dhabih, The Fortune of the Slayers January 13 (378) 15 299 Pollux (β Gemini) 116.2
23 Al Sa’d al Bula, The Fortune of the Swallower January 28 (393) 13 312 υ Capricorni 312.9
24 Al Sa'ad al Su'ud, The Fortune of the Fortunate February 12 (406) 13 325 Sadalsud (β Aquarii) 325.9
25 Al Sa'ad al Ahbiyah, The Fortune of the Hidden February 25 (419) 13 338 Sadachbia (γ Aquarii) 338.6
26 Al Fargh al Mukdim, The First Spout March 9 (432) 14 352 φ Aquarii 352.0
Fum al Samakah (β Piscium) - 0º (day 0) = 348.3 (March 4)
27 Al Fargh al Thani, The Second Spout March 16 (75) 3 3 Simmah (γ Piscium) 3.4 = 351.7 - 348.3
Dzaneb al Samkat (ω Piscium) - day 14.1
28 Al Batn al Hut, The Belly of the Fish March 19 (78) 12 15 32 Piscium 14.9 = 363.2 - 348.3

The dates at the time of Ibn 'Arab cannot have been Gregorian, they should rather have been Julian. But to avoid complications I have above used the dates which correspond to the heliacal risings of the manzil stars around 1870 A.D. (in 'rongorongo times').

? (299.9) 0° Capricorni day 0
υ Capricorni (312.9) 12°51'22" 12.856º 12.856º / 360º * 364 = 13.0 days
Sadalsud (325.9) 25°42'51" 25.714º 25.714º / 360º * 364 = 26.0 days

365¼ / 364 * 13.00 =13.04 and therefore I have worked with 13.0 days also when counting RA days backwards from Sadalsud.

In my list the first to rise star in Capricornus is ξ (306.8) and I cannot see any earlier star in the star map copied from Wikipedia. Maybe 0° Capricorni was no star at all but something else:

Shaula 11 12 13 (244) Al Naam 1 2 3
January 13 14 15 16 17 18 (383)
Ca11-14 Ca11-15 Ca11-16 (300) Ca11-17 Ca11-18 Ca11-19
tupu toona rakau i te vai te moko te marama te kava ihe manu kara etahi te mauga e hiku hia
Sham (297.8) Tarazed (299.3) Altair (300.3) ι Sagittarii (301.2), Terebellum (301.3) Alshain (301.6), ε Pavonis, θ Sagittarii (302.3) μ Pavonis (302.7)
July 15 16 17 18 19 (200) 20
Heka 7 8 9 10 (63) 11 12
σ Gemini (115.7), Pollux (116.2) Azmidiske (117.4) no star listed Drus (119.9) Naos (121.3)

Possibly the reason was Pollux close to the full Moon, because Pollux - rather remarkably - was the star ruling the more modern manzil Al Muakhar. Pollux ought to come later in the calendar (or else there is a gap in time between Aquarius and Gemini):

Nawaa Manzil Begins on Number of days Stars
The Three Saads Saad Al Thabib 11 Febr (407) 15 285 Saad Al Thabih
Saad Balaa 26 Febr (422) 13 298 Saad Balaa
Saad Al Saud 11 March (435) 13 311 Saadalsud
Hameemain Saad Al Akhbia 24 March (448) 13 324 Sadachbia
Almuqaddam 6 April (461) 13 337 Almuqaddam
Al Tharaeen Al Muakhar 19 April (474) 13 350 Pollux
Alrescha 2 May (487) 15 365 Alrescha

"The name Pollux refers specifically to Castor and Pollux, the sons of Leda. The star also bears Arabic name Al-Ras al-Tau'am al-Mu'akhar... literally, 'The Head of the Second Twin.' Castor and Pollux together correspond to the Nakshatra Punarvasu in Hindu astronomy. The star is named Punartham in Malayalam." (Wikipedia)

The distance between φ Aquarii - which was ruling Al Fargh al Mukdim and therefore presumably also Al-muqaddam - and Pollux is 352.0 (φ Aquarii) - 116.2 (Pollux) = 235.8 days (close to 8 * 29½ = 236). But counting forward first from 352.0 to 365¼ means the distance will be 235.8 - (365¼ - 352.0) = ca 222 days. And 366 - 222 = 144 (= 12 * 12).