Refactor FXIOS-27336 [TA 2025] Move password generator telemetry to its own YAML file

[utsavDave97]

📜 Tickets

Jira ticket
Github issue

💡 Description

This PR separates the password generator probes into their own specification file and adds a corresponding tag.

📝 Checklist

• I filled in the ticket numbers and a description of my work
• I updated the PR name to follow our PR naming guidelines
• I ensured unit tests pass and wrote tests for new code
• If working on UI, I checked and implemented accessibility (Dynamic Text and VoiceOver)
• If adding telemetry, I read the data stewardship requirements and will request a data review
• If needed, I updated documentation and added comments to complex code
• If needed, I added a backport comment (example @Mergifyio backport release/v120)

[mobiletest-ci-bot]

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