Brave colors setting should not be shared between multiple profiles

[urbenlegend]

Description

I have two separate browsing profiles. When I change Settings -> Appearance -> Brave colors in one profile, it gets immediately applied to my other profile. I don't think this is correct. Each profile should be able to have its own set of settings. I use the colors to differentiate between different browsing sessions. It is not useful to me to have them shared.

Steps to Reproduce

1. Create a secondary profile in Brave and have both profiles open at the same time
2. Change Settings -> Appearance -> Brave colors in one profile
3. Notice the change in the other profile.

Actual result:

Changing the colors in one profile affects the others

Expected result:

Each profile should have its own colors setting

Reproduces how often:

Easily reproduced

Brave version (brave://version info)

1.64.122 Chromium: 123.0.6312.122 (Official Build) unknown (64-bit)

brave://version says unknown but the OS is Arch Linux

Version/Channel Information:

• Can you reproduce this issue with the current release? Yes
• Can you reproduce this issue with the beta channel? Not tested
• Can you reproduce this issue with the nightly channel? Not tested

Other Additional Information:

• Does the issue resolve itself when disabling Brave Shields? N/A
• Does the issue resolve itself when disabling Brave Rewards? N/A
• Is the issue reproducible on the latest version of Chrome? Not tested

Miscellaneous Information: