Update on first and last name does not reflect on the same session

[fviduya]

Describe the Bug:

As an internal/external user, if I update my first or last name on the Profile page, it updates on the Profile view but not on the name at the top right of the screen unless I log out then log back in.

Probability:

5
(How likely the bug is to happen, scored from 1-5. For example, probability of 5 is something like "it happens to all users every time they log in." whereas probability of 1 "only happens to certain users when a really specific and unlikely path is followed.")

Impact:

1
(How bad the bug is when it does happen, scored from 1-5. For example, effect of 5 is "the entire app crashes and makes it unusable for all users" or "the bug causes the wrong data to be saved, with critical information (e.g. payment) being affected." whereas effect of 1 is "It makes some styling look a little bit weird.")

Steps to reproduce the behaviour:

Steps to reproduce written on this document

Screenshots:

Additional information:

OS: [e.g. iOS]
Browser: [e.g. chrome, safari]
Version: [e.g. 22]

Additional Context