Use the Parameters Manager to manipulate a block reference that contains constraint parameters.
Constraint parameters are authored with mathematical expressions that affect the geometry of the block reference. They display dynamic, editable custom properties that can be manipulated outside of the Block Editor, similar to action parameters.

block reference with constraint (gray) and constraint parameter (blue, with grip)
When you select a block reference that contains constraint parameters, the editable parameters are listed in the Parameters Manager. When you change the value of the parameter, the block reference is updated accordingly.