I just spoke with the OTA that I booked through after status in Tripcase changed to "ticket refunded". LATAM has refunded the ticket in their system (meaning the OTA has lost control of the ticket), so now the OTA has to send manual a refund application to LATAM in an external system, which can take several weeks to review (worst case months).

Hopefully the refund will be swift, but worst case LATAM considers this an interest free loan and take their time.
People who booked directly with LATAM will probably have a much quicker refund process.

Oh well, it was fun while the dream lasted