The Grey Havens

And when they had passed from the Shire, going about the south skirts of the White Downs, they came to the Far Downs, and to the Towers, and looked on the Distant Sea; and so they rode down at last to Mithlond, to the Grey Havens in the long firth of Lune.

Gandalf has been leaving cryptic messages for the hobbits again... To start this puzzle, find the digits marked with the G-Rune (ᚵ) from the solutions of the previous nine puzzles, and write them into the marked cells: r1c1 for Puzzle 1, r2c2 for Puzzle 2, etc.

Normal sudoku rules apply.

Digits in cages do not repeat, and must sum to the given value.

Digits along the marked blue (positive) diagonal do not repeat.

The total sum of digits in the firth of Lune (blue shaded cells) is 77.

The digits in the two light houses (circles) are the same.