Can you add a dockable panel to the "Browsers" list?

I’m attempting to create a family browser in Revit using the dockable panel but I need a way to reopen my browser if it closes, the only way I know to do this is through the menu pictured below. However, I’m unsure of how to add a new dockable panel custom browser to the existing list. Does anyone have some ideas I could try out?
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This: pyRevit/extensions/pyRevitDevTools.extension/ Tools.panel/Open Dockable Pane.pushbutton at master · eirannejad/pyRevit · GitHub
should get you there