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Nunki (σ) is not on the vane of the arrow according to Hevelius:

Instead it marks the left shoulder of the Archer. I have with red lines added the modern image of a Teapot:

I have also noted the Greek letters for some important stars. My list has the following Sagittarius stars, 10 in the 19th hour and 8 in the 20th hour:

Nash γ Sagittarii 2.98 30° 26′ S 18h 03m 274.7  
Polis μ Sagittarii 3.84 21° 04′ S 18h 12m 276.9  
  η Sagittarii 3.10 36° 46′ S 18h 16m 277.9  
Kaus Medius δ Sagittarii 2.72 29° 51′ S 18h 18m 278.5 H
Kaus Australis ε Sagittarii 1.79 34° 25′ S 18h 21m 279.3 H
Kaus Borealis λ Sagittarii 2.82 25° 27′ S 18h 25m 280.3  
  φ Sagittarii 3.17 26° 59′ S 18h 44m 285.0 C
Ain al Rami ν Sagittarii 4.86 22° 45′ S 18h 52m 287.2  
  ξ Sagittarii 3.52 21° 06′ S 18h 56m 288.1  
Ascella ζ Sagittarii 2.60 29° 57′ S 18h 59m 288.9 H
Nunki σ Sagittarii 2.05 21° 49′ S 19h 01m 289.4 H
Manubrium ο Sagittarii 3.76 21° 44′ S 19h 03m 289.8  
  τ Sagittarii 3.32 27° 40′ S 19h 05m 290.4  
Al Baldah π Sagittarii 2.88 21° 01′ S 19h 08m 291.1  
  ψ Sagittarii 4.86 25° 15′ S 19h 14m 292.6  
Arkab Prior β¹ Sagittarii 3.96 44° 33′ S 19h 19m 294.0  
Arkab Posterior β² Sagittarii 4.27 44° 54′ S 19h 20m 294.2  
Alrami α Sagittarii 3.96 40° 43′ S 19h 20m 294.2  
Sham α Sagittae 4.39 17° 54′ N 19h 38m 298.8  

The 19th star above is Sham, the Arrow, not a part of the Archer, but rising only 4.6 days later than Alrami. Number 19 is a Sun number and as such indicating a final, e.g. because the Mayan had an odd 5-day long month at the end of their 365 (= 18 * 20 + 5) days long year.

Shaula 1 2 3 4 (600) 5 (236) 6
January 3 4 5 6 (736) 7 (372) 8
Ca11-4 Ca11-5 Ca11-6 (290) Ca11-7 Ca11-8 Ca11-9
tupu te raau i te vai te moko te marama te kava manu rere te mauga hiku hia
λ Lyrae (287.7), Ascella (287.9), Nunki (288.4), ζ Cor. Austr. (288.5) Manubrium (288.8), γ Cor. Austr. (289.3), τ Sagittarii (289.4), ι Lyrae (289.5) δ Cor. Austr. (289.8), Al Baldah, Alphekka Meridiana (290.1), β Cor. Austr. (290.2) Aladfar (291.1), Nodus II (291.5) ψ Sagittarii (291.6), θ Lyrae (291.8) Arkab Prior (293.0), Arkab Posterior, Alrami (293.2)
July 5 6 7 (188) 8 9 10
Al Tuwaibe' 10 11 12 (52) 13 Heka 1 2
Alzirr (105.7), Muliphein (105.8) Wezen (107.1) no stars listed Wasat (109.8) Aludra (111.1)

The Manubrium (ο) is interesting. It could indicate where Sea is beginning (in January 4) and it could possibly allude to the Yoke of the Sea:

... σ, with ζ and π, may have been the Akkadian Gu-shi-rab-ba, the Yoke of the Sea ...

The manubrium bone (red) is located in the horizontal center of a pair of bones which if joined will look like the Archer's bow. The arrow on this bow is hitting the head above.

Hevelius has Manubrium (ο) at the neck, with π at the back of the Archer's head and ξ at the other end of what looks like a short chain of stars.

Al Baldah (π) is on the side of Nunki (beyond the end of the 19th hour) while ξ is on the side of Ascella (before the 'break' between the 19th and 20th hours).

Ascella (ζ) means Armpit (Latin Axilla), where also Hevelius has put this star.

Obviously the images in Ca9-17 and Ca9-20 could allude to Ascella. Antares (in November 25) is like Nunki, the sign of a new season ahead:

Syrma 4 (187)   5 6 7 8 9 (192)
Nov. 19 20 21 22 23 24
Ca9-15 Ca9-16 Ca9-17 Ca9-18 Ca9-19 Ca9-20 (248)
i te mauga pu hia E rima ki te henua koia ku honui erua maitaki ko koe ra
16h (243.5) Marfik (243.7), φ Herculis (243.8) ψ Scorpii (244.6), Lesath (244.8), χ Scorpii (245.1), Yed Prior (245.5) no star listed Yed Posterior, Rukbalgethi Shemali (246.6). ο Scorpii (246.8), σ Scorpii (247.0), Hejian (247.2) ψ Ophiuchi (247.7), ρ Ophiuchi (248.1), Kajam (248.3), χ Ophiuchi (248.5)
ι Cor. Borealis (242.5), ξ Scorpii (242.7), Acrab, Jabhat al Akrab (243.3), θ Lupi, Rutilicus (243.5)
May 21 (141) 22 23 24 (144) 25 26
Sheratan 5  6 7 8 9 10
4h (60.9) Beid (62.2) Hyadum I (63.4) Hyadum II (64.2) no star listed Ain, θ¹ Tauri, θ² Tauri (65.7)
no star listed