Wrapping bars with Dia Compe bar-end brake levers

I've got a Nitto handlebar and two Dia Compe plug-in bar-end brake levers.

They're a very tough fit without the bar tape, and usually you'd tuck that before inserting the plugs.

Does anyone know what to do here?

I pressed them in by putting all my weight on them while pressing against the coffee table.

Job jobbed. Fecked the coffee table and got me banned from bike work, other than in my workroom though.