I have zero experience with facility billing, but I always thought the global surgery package applied to the professional claim, not facility claims.
Per CMS global surgery booklet:
The global surgical package, also called global surgery, includes all the necessary services normally
furnished by a surgeon before, during, and after a procedure. Medicare payment for a surgical procedure includes the preoperative, intra-operative, and post-operative services routinely
performed by the surgeon or by members of the same group with the same specialty. Physicians in the same group practice who are in the same specialty must bill and be paid as though they were a single physician.
There may be other reference specifically for facility, but I do not think that IPPS and OPPS have global periods.
Someone familiar with institutional billing should feel free to set me straight.