Assuming they were all single tokens, the actual odds of not getting >2 star pull per draw is actually 71.5% (13 2-stars with 5.5% chance each), so the odds of getting no >2 star pulls at all for 109 pulls in a row is actually 1.31E-16, approximately 1 in 7.6 quadrillion.
For comparison, the chance of winning the jackpot in the UK National Lottery is approximately 1 in 14 million, or 1.75E-8. So your pull streak is actually less likely than winning the jackpot for the UK National Lottery twice in a row (5.11E-15).
So let’s just say I’m a little bit sceptical of your claim.
Actually, it’s 29% if you add up all the numbers. Keep in mind, though, that those numbers are rounded. If we add a significant digit and assume the numbers are as low as possible to round up to 2% and 6% (1.5% and 5.5%), the chance could actually be just over 25%.