9 Cages 9 Puzzles 9 (Fea)Doors

Penpa: http://tinyurl.com/SecretSolver2023Feadoor
Image: https://ibb.co/KWnZZxW

These 9 puzzles are connected through given 3x3 cages. Cages marked with the same letter must have the same pattern of shaded cells.

Cave: Shade some cells so that the shaded cells are all connected orthogonally by other shaded cells to the edge of the grid, and the remaining unshaded cells form one orthogonally connected area. Clues cannot be shaded, and represent the total number of unshaded cells that can be seen in a straight line vertically or horizontally, including itself.
Country Road: Unused cells are considered shaded. Draw a non-intersecting loop through the centers of some cells which passes through each region exactly once. A number in a region represents how many cells in the region are visited by the loop. Orthogonally adjacent cells across a region border may not both be unused.
Japanese Sums: Place a number from 1 to 7 into some cells so that no number is repeated in any row or column. Numbers outside the grid indicate the sums of the numbers in groups of consecutive numbered cells in the corresponding row or column, in order. Sums must be separated by at least one shaded cell.
Kurotto: Shade some cells so that clues represent the total size of the orthogonally connected areas of shaded cells that share an edge with the clue. Clued cells cannot be shaded.
Nanro (Signpost): Numbered cells are considered shaded. Place a number into some cells so that all cells with numbers form one orthogonally connected area and no 2x2 region is entirely numbered. Each region must contain at least one numbered cell, and every number in the region must be equal to how many numbered cells the region contains. A clue in a region represents how many numbered cells are in the region. Two cells containing the same number may not share a region border.
Heyawake: Shade some cells so that no two shaded cells are orthogonally adjacent and the remaining unshaded cells form one orthogonally connected area. Numbered regions must contain the indicated amount of shaded cells. A line of consecutive unshaded cells may not cross more than one bold border.
Skyscraper Sudoku with Parks: Un-numbered cells are considered shaded. Place a number from 1 to 6 into some cells so that each row and column contains three empty cells and every number from that range with no repeats. A clue outside the grid represents how many cells in the corresponding row or column contain a number which is larger than all numbers before it in that row or column from the direction of the clue.
Pentatouch: Place the twelve pentominos into the grid once each so that no pentominoes touch one another orthogonally. Rotating and reflecting pentominoes is allowed. Every grid point on which two pentominoes touch diagonally is marked with a dot.
Domino Yajilin: Shade some dominoes so that no two shaded dominoes are orthogonally adjacent and draw a non-intersecting loop through the centers of all the remaining empty cells. Clues cannot be shaded, and represent the number of shaded cells that can be seen in a straight line in the indicated direction.