Search the web privately is not translated on NTP Private Window/Tor

[btlechowski]

Follow up to #23732

Steps to Reproduce

1. launch Brave in PL (Polish) locale
2. click hamburger menu
3. opened a new Private Window with Tor
   OR opened a new Private Window
   OR opened a new Guest Window

Actual result:

Search with web privately is not translated

Expected result:

Search the web privately is translated

Reproduces how often:

Easily reproduced

Brave version (brave://version info)

Brave	1.42.74 Chromium: 103.0.5060.134 (Official Build) beta (64-bit)
Revision	a1c2360c5b02a6d4d6ab33796ad8a268a6128226-refs/branch-heads/5060@{#1124}
OS	Ubuntu 18.04 LTS

cc @rebron @mkarolin @brave/qa-team @nullhook

[mkarolin]

I don't see this string in any of the GRD(P) files. It seems to be hardcoded at the moment in components/brave_private_new_tab_ui/resources/page/components/search-box/index.tsx:166 (maybe?) cc: @nullhook

[simonhong]

@nullhook Please handling here(https://github.com/brave/brave-core/blob/master/components/brave_new_tab_ui/components/default/searchPromotion/searchBox.tsx#L130) together.
I referenced your search box for ntp promotion and has same issue.(placeholder text)

[kjozwiak]

We'll need translations to be able to verify the above. Once we get the translations uplifted into 1.43.x, the above can be checked. I did run through a quick sanity check and made sure string is still being displayed and nothing obvious regressed as per brave/brave-core#14463 (comment).

[LaurenWags]

Testing can be completed with 1.43.84 and above as translations have been included in that version.

[stephendonner]

Verified PASSED using

Brave	1.43.84 Chromium: 105.0.5195.68 (Oficjalna wersja) (x86_64)
Wersja	ad13e82529051bac6a0e65f455e6d7a1e5fd7938-refs/branch-heads/5195@{#903}
System operacyjny	macOS Wersja 11.6.8 (kompilacja 20G730)

Followed original steps to reproduce; confirmed the Search the web privately string has been translated.

Polish

Private window	Private window w/Tor	Guest window

French

Private window	Private window w/Tor	Guest window

Hindi

Private window	Private window w/Tor	Guest window