No, simply entering the bathroom does not break your Wudu.
Wudu is broken by specific actions related to bodily functions, not by location. The reference text highlights that Wudu' is broken by things that emerge from the two normal passages (urethra and anus) in a normal manner.
Therefore, the mere act of entering a bathroom, without performing any action that nullifies Wudu, does not invalidate your ablution.