Entanglement Painter

A puzzle made for the Confounding Calendar 2023.

Use the Left Mouse Button to move blocks and the Right Mouse Button (double tap on mobile) to paint/unpaint blocks. 
Z can be used to rewind the board to before the last right-click.
R to reset
All other mechanics must be discovered
or if you would prefer to just solve the puzzle here are the mechanics and goal in rot13:
- Gur tbny vf gb zbir gur juvgr oybpx pbzcyrgryl bss gur fvqr bs gur obneq.
- Lbh unir n yvzvgrq ahzore bs cnvagf/hacnvagf vaqvpngrq ol gur qbgf ba gur evtug fvqr bs gur fperra
- Cnvagrq oybpxf ner ragnatyrq naq zbir ng gur fnzr gvzr, nyybjvat ubevmbagny oybpxf gb zbir iregvpnyyl naq ivpr irefn.
- Hacnvagrq oybpxf ner ybpxrq vagb cynpr hayrff ercnvagrq.
Solution Video - (Recorded in an older version of the puzzle, but it is the same solution)

Please report any bugs in the comments.

Changelog : 
- Added Z as an undo button (previously was Left Arrow)
- Fixed a bug where blocks could move through other blocks on occasion.
- Fixed a bug with painted block movement priority that caused it to feel unresponsive