Single tab burn: Dialog changes

[0nko]

Task/Issue URL: https://app.asana.com/1/137249556945/project/1207418217763355/task/1213760433348129?focus=true

Description

This PR contains the following changes:

• After "Delete This Tab" is tapped, the app respects the "Launch on start" settings and opens a specific website, if set (NTP otherwise)
• On Duck.ai Tab: Only one “Delete This Chat", which is primary
• On Normal Tab: Top button is “Delete This Tab” and is primary, bottom button is “Delete All” and is secondary (regardless of the number of tabs)

Steps to test this PR

Prerequisite: Enable singleTabFireDialog feature flag

Normal tab with multiple tabs open

• Open 2+ tabs, load some websites and tap the fire button from the browser
• Verify "Delete This Tab" is the top button (primary/red)
• Verify "Delete All" is the bottom button (secondary/outlined)
• Tap "Delete This Tab" — verify the tab is replaced correctly

Normal tab - single tab open

• Open only 1 tab, tap the fire button from the browser
• Verify both buttons are shown: "Delete This Tab" (primary, top) and "Delete All" (secondary, bottom)
• Tap "Delete This Tab" — verify the tab is replaced with NTP

Duck.ai tab

• Navigate to Duck.ai, start a chat, then tap the fire button from the browser
• Verify title reads "Delete this chat?"
• Verify only one button is shown: "Delete Chat" (primary/red)
• Verify "Delete All" button is NOT shown
• Verify no subtitle about Duck.ai chat history is shown
• Tap "Delete Chat" — verify the chat is deleted and a new Duck.ai tab opens

Launch on start setting respected after single tab burn

• Go to Settings > General > Show on App Launch, set to a specific page (e.g. example.com)
• Open a normal tab, tap fire, tap "Delete This Tab"
• Verify the replacement tab navigates to the configured specific page

Fire dialog from Settings

• Open fire dialog from Settings > Data Clearing > Delete Tabs and Data
• Verify only "Delete All" is shown as a primary (red) button
• Verify "Delete This Tab" is NOT shown

Fire dialog from Tab Switcher

• Open the tab switcher, tap the fire button
• Verify only "Delete All" is shown as a primary (red) button
• Verify "Delete This Tab" is NOT shown

Data deletion subtitle

• Clear app storage data
• Navigate to Duck.ai
• Tap on the Fire button
• Verify no subtitle is shown regardless of the current open tabs count
• Open a normal tab and tap on a Fire button
• Verify "Deleting site data can sign you out of accounts." subtitle appears
• Navigate to Duck.ai
• Start a long download, open fire dialog on a normal tab — verify "This will cancel downloads in progress." subtitle appears
• While download is still in progress, open fire dialog on a Duck.ai tab — verify no downloads subtitle is shown

---

Note

Medium Risk
Medium risk because it changes data-clearing post-action navigation/restart behavior and refactors the fire dialog state/pixel flow, which could affect clearing outcomes and telemetry.

Overview
Updates the single-tab fire dialog UX: button hierarchy/visibility now depends on origin and whether the selected tab is Duck.ai (e.g., Duck.ai shows a single primary Delete Chat action and suppresses site/download subtitles; normal browser tabs show Delete This Tab as primary with Delete All as secondary).

After clearing a single tab, the replacement tab URL now respects the user’s Show on App Launch setting (using the configured specific page when set, while still prioritizing a fresh Duck.ai chat URL for Duck.ai tabs). Telemetry is adjusted by removing the clear_all_button_only pixels and adding a from_focused_ntp boolean parameter to the browser daily fire-button pixel, with corresponding test updates.

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[0nko]

• Single tab burn: Updated string translations #8096
• Single tab burn: Dialog changes #8089 👈 (View in Graphite)
• develop

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[CDRussell]

@0nko, the specs say "Delete All Tabs", e.g.

• "Verify "Delete All Tabs" is the bottom button (secondary/outlined)
• bottom button is “Delete All Tabs” and is secondary
• etc...

But I see Delete All

[CDRussell]

For #8089 (comment)

• clarified that the PR testing instructions needed to be updated and that "Delete All" is what we want

There's an outstanding lint error which is being fixed already.

LGTM.