Missing Shoes - Nala!?

Nala has a tendency to pick the first thing she can find that looks „toy-ish“ when she wants to play. In this case she took a pair of shoes that has been missing since. Can you help us find it?

Normal Sudoku rules apply.

The sum of the digits along a „double arrow“ is equal to the sum of the digits in circles attached to either end of the line. Each double arrow has its own color. Elements do the same color are connected.

Digits in killer cages sum to the number in the top left corner (if given) and cannot repeat. Each killer cage has its own color. Elements of the same color are connected.

Additionally the grid is partially covered in fog. Placing correct digits will clear the fog from surrounding cells, possibly revealing more clues. (And a pair of missing shoes)!