TPS55285: when both Vin and Vout are within 3V -- 3.3V, How Vcc works?

Part Number: TPS55285

Tool/software:

Dear Friend

My application require a fixed Vout at 3.3V, while Vin is specified within 3V -- 12V. Therefore I need a buck-booster who can start work when Vin = 3V, and get Vout=3.3V.

TPS55285 datasheet said: "3.0V Minimum input voltage for start-up".  It seems perfect, however, the datasheet also said: Internal LDO get 5.2V for Vcc from either Vin or Vout.

from table 6-1, the LDO will be connected to Vin, Question:  how TPS55285 works when Vin = 3V?

if TPS55285 don't work, please recommend a buck-booster that work in such condition.

Thanks

Tony