Tri Outside Sudoku (Daily Sudoku League #45)

Welcome to a puzzle that combines two distinct Sudoku variants into one engaging challenge! Today's Tri Outside Sudoku is a hybrid that merges the rules of Tri Sudoku and Outside Sudoku, and it appeared in the WPF Grand Prix 2013. While classic Sudoku rules apply, the grey-shaded cells throughout the grid contain only three different digits. Additionally, the clues outside the grid correspond to the digits found in the first three cells from that direction. This merging of rules creates a layered and compelling logic puzzle. Are you ready to tackle this combined challenge?

This Sudoku puzzle is my 45th contribution to the Daily Sudoku League. Can you solve this Tri Outside Sudoku puzzle?

Rules of the Tri Outside Sudoku

Classic Sudoku Rules apply. Additionally, the grey cells contain only three different digits. Outside clues correspond to digits that are in the first three cells in the corresponding direction.