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3. We should remember that 63 occurs in the number of beads in Flamsteed's representation of Libra:

Northern bowl with 12 beads at the end of R discarded:
  L C R Sum
To the rim: 22 20 16 58
Inside the bowl: 24 10 14 48
Sum: 46 30 30 106
Inside the bowl: 17 19 33 69
Sum visible beads: 63 49 63 175
9 * 7 7 * 7 9 * 7 25 * 7
Southern bowl:
  L C R Sum
To the rim: 9 7 12 28
Inside the bowl: 1 + 3 19 11 34
Sum: 13 26 23 62
Inside the bowl: 50 23 33 106
Sum visible beads: 63 49 56 168
9 * 7 7 * 7 8 * 7 24 * 7

175 + 168 = 80 + 263 = 343 = 7 * 7 * 7.

These beads are evidently to be counted in groups of seven. Reasonably it means we should count time in weeks.

There are 24 weeks in 168 days. This is not quite enough to reach from the beginning of the Gregorian year to summer solstice:

Ga1-27 Ga1-28 (*92) Ga1-29
χ² Orionis (90.5), ν Orionis (91.4)   ξ Orionis (92.5), Tejat Prior (93.4)
6h (91.3) 'June 21 (172) '22

172 - 168 = 4. In order to reach 'June 21 in the proper time we have to begin with 'January 5:

Ga8-17 Ga8-18 Ga8-19 Ga8-20 (224)
Double Double (283.7), ζ Lyrae (283.8), φ Sagittarii (284.1) Sheliak, ν Lyrae (285.1) Ain al Rami (286.2), δ Lyrae (286.3) Alya (286.6), ξ Sagittarii (287.1), Sulaphat (287.4)
'December 30 (364) '31 'January 1 '2
228 229 230 Qalb al Akraab 9 (231).
Ga8-21 (*288) Ga8-22 Ga8-23 Ga8-24 Ga8-25 (229)
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), Alphekka Meridiana, Al Baldah (290.1), β Cor. Austr. (290.2) Aladfar (291.1) Nodus II (291.5), ψ Sagittarii (291.6), θ Lyrae (291.8)
'January 3 19h (289.2) '5 (370) '6 '7
Shaula 1 2 3 4 5 (236)
Ga8-26 Gb1-1 Gb1-2 (*295) Gb1-3 (233)
Arkab Prior (293.0), Arkab Posterior, Alrami (293.2) Deneb Okab (294.0)   Albireo (295.5)
'January 8 '9 '10 '11 (376)
Shaula 6 7 8 9
71
Gb3-14 (305) Gb3-15
71 'March 24 (448) '25
71 Saad Al Akhbia 1 2

365 + 172 = 537 and 537 - 449 = 88.