Alani Thompson wants to give city students a lesson in glamour.

The self-made Brooklyn makeup artist, a Midwood High School grad, is now an official vendor for the city Department of Education, calling herself a “beauty services partner” with the DOE.

Thompson, 26, caused a stir last week when she revealed the role on her Instagram page with a sexy leg-crossing pose and the DOE logo emblazoned across her body. 3

“I’ll be bringing makeup services directly to schools, helping students look and feel their best for every special event,” she posted.

Dozens of followers gave the names of NYC middle and high schools where kids might appreciate Thompson’s skills at applying bold eyeshadows, liner, lashes and lipstick.

“I want to help girls build their confidence, especially around pro

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