Yes, that doesn't change anything. Many companies have been taken private that were public, and then went public again. Your choice for going public is either an SPAC or an IPO/DPO.
I was just writing something similar after some research when I found this existing thread. Maybe we should refer to these public-private-public carousels as PEPOs (Private Equity Public Offering) ? :P
Pedantic nit: not quite an IPO (Initial Public Offering) in its true sense since the original ARM Holdings was already a public limited company (PLC) before Softbank bought it from its shareholders in 2016. The trading entity and group parent is Arm Ltd, a private limited company formed in 1990 [0].
There is however a currently dormant Arm Holdings Ltd [1] incorporated in 2018 which may be converted to a public company so it would be the first time this legal entity has been publicly listed.
