You Said: "This challenge is over. SCOTUS already said Trump could use it. "
That is not what they said. As a matter of record they specifically said the detainees could challenge in habeas the constitutionality of the proclamation. (As in did the Congress grant the President the power to target groups OTHER than those outside the conditions of the law - i.e. declared war or invasion by another foreign government.)
As well as a habeas challenged to whether they actually belonged individually to the group identified in the AEA proclamation.
From the Per Curiam order:
"The detainees also sought equitable relief against summary removal. Although judicial review under the AEA is limited, we have held that an individual subject to detention and removal under that statute is entitled to “‘judicial review’” as to “questions of interpretation and constitutionality” of the Act as well as whether he or she “is in fact an alien enemy fourteen years of age or older.”
Legal work authorizations are only issued to those here legally.
Abrego Garcia was in a temporary legal status after is aslyum hearing pending action by the Trump Administration. They decided to not process for deporting under 8 USC 12131 and the Administration issued him his work authorization.
The choice to not deport him to a 3rd party country was the Trump Administrations choice.
What it shows was that after the October 2019 Immigration Judge Hearing (Judge Jones) a ruling was issued, after which the Trump Administration had 30 days to appeal.
This basically put Abrego Garcia in a temporary legal status pending other Trump Administration action, meaning he was legal to work. That is what the issuing of the work permit recognized.
The fact they chose not to pursue deportation is on them.
ICE does not issue work permits to illegal immigrants regardless of an asylum application. USCIS does. Such permits are limited and may be rescinded for cause.
The “curious case of Kilmar Abrego Garcia” and the other people who were sent to CECOT with him is a story about incarcerating people for life without trial, whether you can face that or not.