WebKit browsers can't change the user agent

[benchesh]

Current behavior

The userAgent can be set in the Cypress config, however this setting is not honoured when the Safari/Webkit browser is used.

Desired behavior

The userAgent can be changed on Safari/WebKit browser

Test code to reproduce

Run this test in the Safari/WebKit browser

cypress-io/cypress-test-tiny@master...benchesh:cypress-test-tiny:master

Cypress Version

14.5.0

Node version

v22.16.0

Operating System

mac OS 15.5

Debug Logs

Other

No response