Thanks for your question - I am Sam and I am one of the UK tax experts here on Just Answer.
Yes I am afraid this is correct - its the fact that own a property already that determines the additional surcharge srising.
See guidance here from HMRC
You can see this advsied
"You’ll also pay the higher rate if you buy a residential property in England, Wales or Northern Ireland and you already own one outside these countries."
Sorry the news is not more favourable, please do let me know if I can assist further or if you have all that you need, it would be appreciated if you could rate me for the level of service I have provided (or click accept) as this esnures Just Answer credit me for my time