Steam will condense on any surface it contacts that has a temperature lower than the steam dew point. This is why your steam piping has traps to remove the condensate. The condensation also happens on the outer shell of your reboiler and also on the wall of the equalization line and also in the condensate pot above the liquid level if the steam is higher temperature than the vessel wall. These areas for condensation are very small when compared to the surface area of the tubes inside the reboiler. Process engineers tend to concentrate their design efforts on the action taking place at the tube surface since the main goal is to transfer heat to the process stream. The steam condensation that occurs elsewhere will take care of itself.
The steam will remain in the reboiler shell until it contacts a colder surface and condenses. Steam will not leave in vapor form with the condensate. There is liquid in the way. The condensate transfer to the condensate pot is not instantaneous and is subject to line diameter, line length, pipe roughness, and the other parameters that affect hydraulic flow. The liquid in the line to the condensate pot forms a barrier to the steam.
Steam flows through piping to the reboiler. Inside the reboiler, the steam does not flow the same way. As soon as steam contacts the surface of a colder tube, it will condense and its volume will be greatly reduced. New steam molecules rush in to fill the missing volume and the cycle repeats. Steam contacting a colder surface and condensing is the reason the steam continues to flow into the reboiler. There is no other normal exit for steam from the system.
The condensate pot functions with its liquid level controlled. The liquid level in the condensate pot also forms a barrier to the steam. Steam is free to transfer through the equalization line and will flow enough to replace the volume lost by the condensation described in the first paragraph.
Reboiler duty is usually either controlled by 1) changing the steam pressure in the exchanger which changes its dewpoint temperature and affects the driving force for heat transfer. or 2) changing the surface area of the reboiler available for condensation by adjusting the level of condensate in the reboiler. In either method, no steam leaves the exchanger except as condensate.