[3.13] gh-126986: Stop Using _PyInterpreterState_FailIfNotRunning() (gh-127112)

This is a pseudo-backport of d6b3e78 (gh-126988).  In that change for 3.14+, we dropped _PyInterpreterState_FailIfNotRunning() and added _PyErr_SetInterpreterAlreadyRunning().  Here, we replace usage of _PyInterpreterState_FailIfNotRunning() with the inlined equivalent of _PyErr_SetInterpreterAlreadyRunning(), without adding that function.  That way we avoid changing the 3.13 ABI.