Retrieve profile using dependency injection rather than static method

[simoarpe]

Related to brave/brave-core#24960 (comment)

Switch in favor of dependency injection rather than static method Utils.getProfile(boolean).

Check slack discussions:

• https://bravesoftware.slack.com/archives/C03MMJ4CHEZ/p1744154549685259
• https://bravesoftware.slack.com/archives/C03MMJ4CHEZ/p1744238803243259

[srirambv]

Verification passed on Google Pixel 8 with Android 15 running

Brave	1.79.105 Chromium: 136.0.7103.93 (Official Build) beta (64-bit)
Revision	610f15e6a408fd5a44998688863dc68054442642
OS	Android 15; Build/BP1A.250305.019; 35; REL

• Verified steps from brave/brave-core#28608
• Verified creating new wallet and going to Settings -> Brave Wallet -> Reset and clear Wallet data, Entering Yes and tapping Confirm closes the settings window correctly and navigates back to the webview
• Verified steps work on restored wallet as well
• Encountered #44705