Vlad,
It’s definitely not condensate. I had the same thing happen after a season of sailing on a pretty new mast. Found out while rigging for an event that required weigh-in. I suspect the top cap was leaking. That is probably the case with your mast, unless something else is obvious (pooling water). You can’t really blow air into these rigs-there is a plug at both the top and the bottom, so you would need to drill a hole. I think a few psi is OK, but JT’s approach is perhaps safer.
Main leak points:
1) Spinnaker bail. The metal ones are notorious for this. Replace with a dyneema bail.
2) top plug (under the carbon hound cap)
3) Hound fitting-unlikely but the sealant can fail.
Best,
Sam