Lose Link when moving item to new board

I’m using a Beta automation to connect two items according to their name but the connection only appears on the board with the automation. I need the other board to mirror a column. The Connect Board columns on both boards are two-way.

I have an item on board A connected to an item of the same name on board B. Both boards have mirror columns showing data from the other board.
When a status on board B changes to X the item is moved to board C. I want to have that new item on board C connected to the item on board A. Board C has an automation to connect a newly created item to an item of the same name on board A. This works in that the connection is on board C but I need it on board A so board A can mirror data from board C. Any ideas?