At the beginning of the season FanGraphs had Adbert with an option year remaining, but they corrected it at some point. I think I figured out where the confusion was:
A player may get a 4th option season if they don't accrue enough roster time (MLB or MiLB) prior to the three option years being used. In 2021, the Cubs were granted a 4th option year on Alzolay due to time he had missed due to injury. They did send him down in 2021 but brought him back up before he had spent 20 days in the minors, so it didn't count as an option year.
HOWEVER, that 4th option year has expired by now -- he has accrued enough roster time that a 4th option year is no longer available.
A player may get a 4th option season if they don't accrue enough roster time (MLB or MiLB) prior to the three option years being used. In 2021, the Cubs were granted a 4th option year on Alzolay due to time he had missed due to injury. They did send him down in 2021 but brought him back up before he had spent 20 days in the minors, so it didn't count as an option year.
HOWEVER, that 4th option year has expired by now -- he has accrued enough roster time that a 4th option year is no longer available.