Pilot reported overlooking a log book entry after annual and flew the aircraft home with a discrepancy recorded against the propeller assembly for a red die leak.

Narrative

I left my aircraft with a new to me A&P mechanic nearly four months ago for its annual inspection. He contracts with an IA (Inspection Authority) whom I never met to perform the inspection. About 2 weeks ago the IA informed me that the right prop had a red dye leak and if it was still leaking after the run up it would need to be sent out for overhaul. He never called me back. So after two weeks I called and asked the A&P if the plane was finished. He told me they were still waiting on the new main gear tires but since the old ones were still legal I could pick up the plane and just have the tires installed after they arrived. I told him I would be there to pick up the plane on DATE. When I arrived to get the plane the tires had just arrived but were not installed. I paid for the maintenance and the inspection; did a quick look at the airframe logbook just to see the entry stating; 'This aircraft has been inspected in accordance with annual inspection....' And I saw the IA signature. I did not read the entire sign off. After a thorough preflight I departed ZZZ for the 15 minute uneventful VFR flight to ZZZ1. When I got home I sat down with logbooks to see what work they performed for $9;500.00. That's when I noticed that the airframe logbook entry's last sentence stated the aircraft was not airworthy for flight due to the red dye leak.I was shocked. It was my understanding if an aircraft wasn't approved then I would be notified by the IA and given a list of discrepancies stating that once the discrepancies were complied with it would then be considered airworthy and the annual complete.I have contacted a local ZZZ1 IA to remove the prop and send it to a propeller overhaul shop next week. He said he would talk to the previous IA to make sure that everything he needs complied with will be accomplished. I should have spent more time talking directly with the IA prior to picking up the aircraft and in the future I will thoroughly read all logbook entries following any aircraft maintenance to prevent any aircraft flights with an out of date annual inspection.