I just stumbled on this notice on the Uffizi website (https://www.uffizi.it/en/notices/pitti-morning-discount)
"Visitors to Pitti Palace who purchase their ticket before 8.59 am and enter the complex in the museums' first time slots (8.30 to 9.25 am), are entitled to a 50% discount on the price of admission."
The regular price is 16€.
Don't forget the availability of the 5-day PassePartout that covers visits to the Uffizi *(which must be the first visit), Pitti Palace, Boboli Gardens and the Museum of the Opificio delle Pietre Dure.