[Follow up to #39552] Title for Edit button needs to be updated to Done when editing custom SE

[hffvld]

Description

Follow-up to #39552.

Steps to reproduce

1. Launch Brave
2. Hamburger menu > Settings
3. Search Engines > Add Custom Search Engine
4. In URL type https://youtube.com/search?q=%s and in Title type YT > Done
5. Slide the newly created SE to the left > Tap Edit
6. Update the Title > Observe

Actual result

If editing custom SE (any of URL or Title), the button title (top right corner) says Edit instead of Done.

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Expected result

The title for Edit button needs to be updated to Done when editing custom SE.

Reproduces how often

Easily reproduced

Brave version

Brave build: 1.70 (117)
BraveCore: 1.70.117 (129.0.6668.59)

Device/iOS version

iPad Mni (6th gen) / iPadOS 18

Affected browser versions

• latest AppStore
• latest TestFlight
• previous TestFlight

Reproducibility

• with Brave Shields disabled
• in the latest version of mobile Safari

Miscellaneous information

No response