How to choose was fields dictate the color of the calendar in a public view

Hello!

I am sharing a public link view of my email calendar. Currently, when viewing the calendar in the project the tasks are color-coded by my custom tags (Purple & Green). However, for whatever reason, the public link is not mirroring this and instead is using colors from additional fields with no real rhyme or reason from what I can tell. Is there a way to make the public calendar colors match the internal project calendar view?

Internal Project View:

Public View: