As far as i know OG is not yet qualified for TI and they will probably not be able to directly qualify for it because only the top 12 teams of the dota pro circuit ranking will receive a direct invite and OG is currently only at position 34 of that list so they won't reach position 12 anymore. The remaining 6 places for TI are determined through the regional qualifiers. Only the best team of every region that is not yet qualified through the dota pro circuit ranking will go to TI. This means OG must be better than Team Liquid and Nigma for example which will be very hard as both teams are stronger than OG at the moment.
That's it, based on the data. The team also acknowledged the difficulties on their Twitter page on May 24. Their only chance of getting into TI is through closed qualifiers. But looking at the current conditions, maybe they only have a small chance anyway.
https://twitter.com/OGesports/status/1396744545635868672