Huckleberry.
But to recap. Cole was with the organization all sesaon, but wasn't added to the 40 man roster until after the deadline. He needs a exemption for a injured player currently on the 40 man roster, which shouldn't be a problem.
To be eligible for an MLB postseason roster, a player must be in the organization's organization as of 11:59 p.m. ET on August 31 and must have been on the 40-man roster or the injured list (IL). Players acquired through waivers, trades, or any other means after this deadline are ineligible for the postseason roster.
Key Criteria for Eligibility:
August 31 Deadline: The player must be part of the team's organization by 11:59 p.m. ET on August 31.
40-man roster: Players must have been on their team's 40-man roster by the deadline.
Injured List: Players on the team's injured list (including the 60-day IL) as of the August 31 deadline are also eligible.
In-Season Suspension: A player who was suspended for a performance-enhancing drug (PED) violation during the season is ineligible for postseason play that year.
Exceptions for Special Circumstances:
A player who doesn't meet the Aug. 31 criteria can still become eligible if they were in the organization on Aug. 31 and are replacing an injured player on the roster.
The replacement player must have served the minimum time required for activation off the injured list (e.g., 10 days for the 10-day IL, 60 days for the 60-day IL).