"Don't ask me again" setting in "Close all tabs?" prompt has no effect from private window

[oldhen]

Description

When closing a private window with multiple tabs open, the Don't ask me again setting in the Close all tabs? prompt has no effect.

Steps to Reproduce

1. Ensure Warn me before closing window with multiple tabs setting is on
2. Open a private window
3. Open multiple tabs
4. Close private window
5. Select Don't ask me again setting when prompted with Close all tabs?
6. Open a private window
7. Open multiple tabs
8. Close private window

Actual result:

• Close all tabs? prompt appears
• Warn me before closing window with multiple tabs setting is still on

Expected result:

• Private window should close without prompt
• Warn me before closing window with multiple tabs setting should be off

Reproduces how often:

Always

Brave version (brave://version info)

• 1.42.97 Chromium: 104.0.5112.102 (Official Build) (64-bit)
• Windows 10 Version 21H2 (Build 19044.1889)

[bsclifton]

cc: @simonhong

[MadhaviSeelam]

Verification PASSED using

Brave | 1.44.70 Chromium: 105.0.5195.68 (Official Build) beta (64-bit)
-- | --
Revision | ad13e82529051bac6a0e65f455e6d7a1e5fd7938-refs/branch-heads/5195@{#903}
OS | Windows 11 Version 21H2 (Build 22000.856)

Verified and reproduced the issue using STR from #24829 (comment)

1.42.83 Chromium: 104.0.5112.69

Ex1	Ex2	Ex3	Ex4

####Steps:

1. Install 1.44.70
2. launch Brave
3. ensure Warn me before closing window with multiple tabs setting is oninbrave://settings/braveHelpTips`
4. click Hamburger menu to open New Private Window
5. open multiple tabs in the private window
6. click x to close the private window
7. check the check box for Don't ask me again setting in Close all tabs? modal
8. confirmed Warn me before closing window with multiple tabs toggle is OFF
9. run above steps 4-6 again

####Confirmed private window closed without Close all tabs? modal

step 3	step 4	step5-7	step8	step9