Equality Cages 114: Will 3D Sudoku Catch On?

Today's Puzzle:

Continuing with the lovely Equality Cages series from gUBBLOR, this time in a collaboration with Sniglett, and today's is our first feature of a 3D Sudoku.

Would love to hear your feedback as to whether we should feature more of them!

Link to Play Along:

Equality Cages 114: Now in 3D! by gUBBLOR & Sniglett http://tinyurl.com/SudokuSleuthEqualityCages114

Rules:

The grid consists of 4 differently colored 4x4 areas. Each area is a different layer (considered to be stacked on top of each other), and together they make up a 4x4x4 cube. There are 4 groupings of digits; low (1,2,3,4), high (6,7,8,9), even (2,4,6,8), odd (1,3,7,9). Each layer is to be filled with digits from only one group, and no two layers can have the same grouping of digits. It is up to the solver to deduce which group of digits belong in which layer. Digits may not repeat in any row, column, or 2x2 box WITHIN ITS LAYER, and digits can also not appear in the same relative position in another layer. For example, the black 6 on the image means 6 could never be in any of the cells with the smaller-sized digits.

Equality cages: Cages must have an equal number of low (1,2,3,4) and high (6,7,8,9) digits AND an equal number of even (2,4,6,8) and odd (1,3,7,9) digits. Digits may not repeat in a cage. The letters are for identification purposes only.

Between lines (top left layer): Cells along lines between two filled circles must have values between those in the circles. Digits may repeat on between lines.

Dutch Whispers (top right layer): Adjacent digits along each Dutch Whisper line must have a difference of at least 4. Digits may repeat on the line.

Thermometers (bottom left layer): Digits along each thermometer must increase starting from the bulb end.

Renban (bottom right layer): Digits along each renban line must be a set of consecutive digits in any order, and must not repeat.

Link to image with visual aid/solved example here: https://shorturl.at/gnzES

There is a setting (under Gameplay) called 'Conflict Checker', and I'd recommend you set that to 'Off', as well as 'Check Pencilmarks' which I'd also recommend setting to 'Off'.