Murder Mystery Sudoku Style: Let's Solve this Sudoku Murder Mystery Again!

Today's Puzzle:

As many of you enjoyed The Bard's murder mystery puzzle, we're back again to solve this one - the original. This time Sleuth is at a castle hosting a party, there are even dungeons. What more could someone ask for in a Sudoku?

Link to Play:

Murder Mystery Sudoku Style by The Bard https://tinyurl.com/SudokuSleuthMurderMystery

Rules:

All the digits went to a party but there was a murderer among them. They need your help to with the clues solve who the killer is. Will you prove to be the great Sherdoku Holmes?

Place all the digits 0-9 in each row, column, box, and marked diagonal but one digit in each was murdered and will not fit. The victims vary and can even be the same value as the killer.

Box 1: The Dungeon - Killer cages: All digits in their cage sum to the value in the corner.

Box 3: The Library - White Dots: Digits are consecutive. Black dots: Digits have a ratio of 1:2.

Box 5: The Tower - Arrows: Digits along an arrow add to the number in the circle.

Box 7: The Ballroom - Thermometers: Digits along the grey line increase from bulb end.

Box 9: The Billiards room - XV: Digits with an X add to 10, Digits with a V add to 5.

Box 2,4,6,8: Hallways -

Odd – Even: Digits in a greyed circle are odd, and digits in a greyed square are even. For this mystery 0 is considered even.

Renban: Digits along a purple line are consecutive in some order.

In the end you will find one last place while the killer hides his last victim, know this: the killer is to be identified to solve the puzzle and you will know him because the killer will be the digit with nothing to lose and everything to gain…

~Cue: Thunder and lightning causing the lights to dim.