[iOS] Ensure all tab removal actions add tabs to recently closed list

[kylehickinson]

This fixes tabs removed by multi-select and "Close Other Tabs" not being added to the recently closed tabs list

Resolves brave/brave-browser#53157

Test

Multi-select

• Open multiple tabs
• Long press any tab and choose "Select Tab", select another tab and then choose "Close Tabs" in the bottom toolbar to close all selected tabs
• Verify the closed tabs are in the recently closed list

Close Other Tabs

• Open multiple tabs
• Long press a tab and choose "Close Other Tabs"
• Verify all closed tabs are in the recently closed list

Close All Tabs (Regression test)

• Open multiple tabs
• Tap the "More" button in the bottom left corner and tap "Close All Tabs"
• Verify all tabs are in the recently closed list

[github-actions]

Chromium major version is behind target branch (145.0.7632.120 vs 146.0.7680.32). Please rebase.

[brave-builds]

Released in v1.89.81

[kjozwiak]

Verification PASSED on iPhone 11 running iOS 26.3 using the following build(s):

Brave | 1.89.100 Chromium: 146.0.7680.32 (Official Build)nightly (64-bit) 
Revision | 39c205d7d17c...
OS | iOS

Using the STR/Cases and information outlined via #34220 (comment) & brave/brave-browser#53157 (comment), ensured that the following cases worked without any issues/failures:

Test Case #1 - Multi-select

ScreenRecording_03-04-2026.14-31-21_1.MP4

Test Case #2 - Close Other Tabs

ScreenRecording_03-04-2026.14-32-51_1.MP4

Test Case #3 - Close All Tabs

ScreenRecording_03-04-2026.14-36-30_1.MP4