Version

1.57.0

Steps to reproduce

Repro Steps:

1. Enable all possible viewports in the project config file such as
   `projects: [
   {
   name: 'chromium',
   use: { ...devices['Desktop Chrome'] },
   },

   {
   name: 'firefox',
   use: { ...devices['Desktop Firefox'] },
   },

   {
   name: 'webkit',
   use: { ...devices['Desktop Safari'] },
   },

   //Test against mobile viewports.
   {
   name: 'Mobile Chrome',
   use: { ...devices['Pixel 5'] },
   },
   {
   name: 'Mobile Safari',
   use: { ...devices['iPhone 12'] },
   },

   //Test against branded browsers. */
   {
   name: 'Microsoft Edge',
   use: { ...devices['Desktop Edge'], channel: 'msedge' },
   },

   {
   name: 'Google Chrome',
   use: { ...devices['Desktop Chrome'], channel: 'chrome' },
   },`

2. Run a single test case against each targetProject from VSCode's test explorer window and could observe the corresponding appName and appIcon in which the app is being tested.

Expected behavior

To be: The appName and appIcon must be according the browser/browserEngine.
Format: Browser/BrowserEngine===>[AppName,AppIcon]
chromium===>[Google Chrome,GoogleChrome Icon]
Google Chrome===>[Google Chrome,GoogleChrome Icon]
Mobile Chrome===>[Google Chrome for Testing, New GoogleChrome for Testing Icon]
firefox===>[Nightly,New Nightly build for firefox Icon]
webkit===>[Safari,Safari Icon]
Mobile Safari===>[Safari,Safari Icon]

Actual behavior

As Is: For webkit and mobile safari targets, the appName and appIcon is set to Playwright and PlaywrightIcon.
This is set as default and wasn't handled.
Format: Browser/BrowserEngine===>[AppName,AppIcon]
✅chromium===>[Google Chrome,GoogleChrome Icon]
✅Google Chrome===>[Google Chrome,GoogleChrome Icon]
✅Mobile Chrome===>[Google Chrome for Testing, New GoogleChrome for Testing Icon]
✅firefox===>[Nightly,New Nightly build for firefox Icon]
❌webkit===>[Playwright,Playwright Icon]
❌Mobile Safari===>[Playwright,Playwright Icon]

webkit:

Mobile Safari:

Additional context

No response

Environment

System:
    OS: macOS 26.2
    CPU: (12) arm64 Apple M2 Pro
    Memory: 250.72 MB / 16.00 GB
  Binaries:
    Node: 24.2.0 - /opt/homebrew/bin/node
    Yarn: 1.22.22 - /opt/homebrew/bin/yarn
    npm: 11.3.0 - /opt/homebrew/bin/npm
  Languages:
    Bash: 5.2.26 - /opt/local/bin/bash
  npmPackages:
    @playwright/test: ^1.57.0 => 1.57.0 
    playwright-lighthouse: ^4.0.0 => 4.0.0