Mean Year of 353-year lunisolar cycle

I've found one more lunisolar cycle made up of the same repetition of one lunar calendar cycle listed in
Karl P,'s "Lunar Calendar Cycles less than 1885 Months"

This is the case of the 43 yerm era with 703 months with
mean month = 29 & 373 / 703 days
that factors into
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6707 years = ( 2*59 )*2*2*2*3*5*173 = 82954 months

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This is 19 repeats of the 353-year cycle of 4366 months. This scheme allows us to write

mean year of 353-year cycle = 365 & 1625 / 6707 days

mean year of 3-year cycle = 364 & 4 / 19 days

I think the 3-year cycle's new year drifts through the seasons 19 times in 6707 years, that is once every 353 years