Raising the privilege to 15 is the easy solution here.
And since it's Friday evening, easy is all I have the patience for.
Henceforth, close voting on private betas will be documented as a 15 reputation privilege.
This also fixes the other bug you linked; users won't have access to or be shown tasks in the Close Votes queue until they've earned the privilege.
FWIW: almost nobody ever used this privilege even when it did work. I counted 25 close votes raised during private betas by users with under 15 rep... In the entire history of the network...
