Jake allows himself to be "captured" and even goes to prison for the cookie, proving his loyalty to a person over a system.
Princess Bubblegum’s initial laughter at his dream highlights how institutional power can be inadvertently cruel to those who don't fit the mold. [S4E13] Princess Cookie
His desire to be a princess is dismissed because he doesn't "look" like one. Jake allows himself to be "captured" and even
Jake’s willingness to call Baby-Snaps "Princess" is the only thing that de-escalates the hostage situation. The Tragedy of the "Failed" Outcast [S4E13] Princess Cookie