Focus MK1: Cold Engine Clutch Smooth, Warm Engine Issues - Pump, Air System, or Slave Cylinder?

Hello! For some time I have been looking for help on the Internet, but I have not been able to clearly determine what is wrong with the focus. Namely, the symptoms are that the car on a cold engine starts smoothly, and the clutch catches and releases immediately, and after warming up (after about 5-6 minutes) the clutch has the impression that it does not bounce. After releasing the clutch before the car accelerates it takes some time instead of going, he howls. Does it look like the shield doesn't let go? I have no idea if this is the fault of a pump, air system or maybe a slave cylinder?

Thank you in advance for your help.

Hello. If the fault was on the side of the air system, it would not declutch. At what point in the cold, as you define, does it take the clutch down or near the top or maybe in the middle? (It's about the position of the clutch pedal)

For cold it catches lower than for warm. After warming up, it catches almost at the end. However, there are sometimes moments where he catches well and drives normally.

Rather, it is an extreme possibility, but once I met, although I bet that replacing the clutch will not pass you. Drain all the old liquid from the system, blow the muck because the old liquid may contain water particles pour fresh liquid, vent and check how the clutch will behave.