A 2.5 cm high threshold is probably a bit too high. I have a carpet about 2 cm high and my S6 can only manage it after several attempts. In general, I don't know of any ordinary robot hoover that is guaranteed to overcome such a high obstacle...
You can give it a try :) If it doesn't make it, there is a wonderful solution from HelpYourRobot! You can configure your own doorstep ramp:
https://www.helpyourrobot.de/produkt...
Rocksresort Laax: win a stay for 4 people
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