Just a thought, could be wrong, but... being owned by someone doesn’t necessarily mean a tattoo or a mark. If you are owned by Satan it could be by your thoughts and actions, alone.
The word for “mark” in Revelation 13:16-18 is “charagma”
Greek word “charagma”:
https://biblehub.com/greek/5480.htm
Strong’s Concordance
charagma: a stamp, impress
Original Word: χάραγμα, ατος, τό
Part of Speech: Noun, Neuter
Transliteration: charagma
Phonetic Spelling: (khar’-ag-mah)
Definition: a stamp, impress
Usage: sculpture; engraving, a stamp, sign.
HELPS Word-studies
5480 xáragma – properly, an engraving (etching); (figuratively) a mark providing undeniable identification, like a symbol giving irrefutable connection between parties.
5480 /xáragma (”brand-mark”) was originally any impress on a coin or a seal, used by an engraver on a die (stamp, branding iron). 5480 (xáragma) later became “the identification-marker” (like with an owner’s unique “brand-mark”).
5480 [e]
charagma
χάραγμα
a mark
N-ANS
(it’s in the middle of the translations; to the furthest right - FWIW)
All the current technology has been building up for a literal "mark" of some type to be placed in the right hand or forehead. What form this will take is anybody's guess. A few contenders like a microchip, quantum dot tattoo etc... When it comes it will be clear and will involve the personal decision to worship the antichrist and allegiance to him per Revelation 13:15.