Formulas lost when Move/Copy row from one sheet to another?

We want to move rows (preferably using Automation) from a source sheet which contains formulas in the rows, without losing the formulas once the row arrives in destination sheet (the sheets are identical in terms of columns).

The source sheet is the first step on a broader flow which begins in that sheet.

Once the status of the row reaches a certain point in that sheet, it's time to move it to another sheet for different work to be done there.

However, when the row arrives at the destination sheet, the formulas have been stripped away.

Is there a way around this while still being able to move the row from one sheet to another?


Could we have the row somehow pick up a new formula in the destination sheet (e.g. inheriting it from the row above it in its new location)?