I'm trying to add a custom part (a washer) to the Toolbox with multiple configurations, and I want the drag-and-drop insertion panel to let the user filter/select through three separate criteria before landing on one specific configuration — similar to how a standard bolt lets you pick Size, then Length, then Drive Type.

My case:

• Selection 1: a size designation (e.g. M6, M8, M10...)
• Selection 2: a material grade (e.g. Steel, A4 stainless)
• Selection 3: a simple Yes/No choice (whether the washer is a wider/extended variant or not)

The part already has all needed configurations built via a design table (one row per unique combination of the three, all dimensions already baked in per row — no feature suppression involved, just different dimension values per row).

What's the correct, supported way to:

1. Add this custom part to Toolbox so all existing configurations are recognized (not just one default)
2. Define three separate properties in Toolbox Settings so they show as three cascading selection fields in the Configure Component panel on drag-and-drop, narrowing down to exactly one configuration
3. Bulk-assign those property values across many configurations, rather than one at a time, if that's possible for custom (non-database) parts

Configuration Publisher is not an option because it only works with the Design Library, and we use Toolbox for all standard parts, so adding this to Toolbox is the only logical option.
Is there a way to add a custom part to Toolbox so that when I drag and drop it, I can choose from 3 separate drop-down lists, after which I'm left with only one possible solution (just like all predefined Toolbox standard parts)?