feat(Icons): add coaching regular icon

[linseyjayne]

Overview

adds CoachingIcon

PR Checklist

• Related to designs: figma figma with icon in use
• Related to JIRA ticket: LIVE-250
• I have run this code to verify it works
• This PR includes unit tests for the code change
• This PR includes testing instructions tests for the code change
• The alpha package of this PR is passing end-to-end tests in all relevant Codecademy repositories

Testing Instructions

Don't make me tap the sign.

1. Go to icons in sotrybook preview
2. Look for CoachingIcon

or

1. go to tengu pr env
2. change your browser to a mobile view
3. open up the header
4. validate that coaching has this icon

PR Links and Envs

Repository	PR Link
Monolith	n/a
Mono	Mono PR

[nx-cloud]

View your CI Pipeline Execution ↗ for commit e4f7a34

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☁️ Nx Cloud last updated this comment at 2025-12-04 20:27:42 UTC

[codecademydev]

📬 Published Alpha Packages:

@codecademy/gamut@67.5.3-alpha.f76b9a.0
@codecademy/gamut-icons@9.53.0-alpha.f76b9a.0
@codecademy/gamut-kit@0.6.571-alpha.f76b9a.0

[github-actions]

🚀 Styleguide deploy preview ready!

Preview URL: https://6931ef5ce85936149c1da670--gamut-preview.netlify.app
Deploy Logs: https://app.netlify.com/projects/gamut-preview/deploys/6931ef5ce85936149c1da670

[LinKCoding]

LGTM!
Checked on both light and dark mode and the viewBox looks good, 🚀