Baggage from Finnair to Mongolian MIAT, Terminal 3

Hi, I am planning on arriving at PEK, T3 on Finnair from Helsinki at 06:55 and will continue on to Ulaanbaatar at 09:30 with MIAT Mongolian Airlines (from T3). Since Finnair and MIAT do not have an baggage transfer agreement, I will have to get my suitcase and carry it to MIAT for check in. Are 2.5 hours enough time to realistically do this? Thank you.