[AC-4071] feat: update bot profile style for favicon case

[bang9]

Changes

• update bot profile style for favicon case

ticket: AC-4071

Additional Notes

• figma: https://www.figma.com/design/KgpsIWkbP3qHdPgRgJaRPW/2409_Product-bumper(Onboarding%2FDashboard)_WIP?node-id=905-24921&node-type=frame&m=dev
• 

Checklist

Before requesting a code review, please check the following:

• [Required] CI has passed all checks.
• [Required] A self-review has been conducted to ensure there are no minor mistakes.
• [Required] Unnecessary comments/debugging code have been removed.
• [Required] All requirements specified in the ticket have been accurately implemented.
• Ensure the ticket has been updated with the sprint, status, and story points.

[netlify]

✅ Deploy Preview for chat-ai-widget ready!

Name	Link
🔨 Latest commit	7b818b5
🔍 Latest deploy log	https://app.netlify.com/sites/chat-ai-widget/deploys/671a2d40a737a90008f8c134
😎 Deploy Preview	https://deploy-preview-379--chat-ai-widget.netlify.app
📱 Preview on mobile	Toggle QR Code... Use your smartphone camera to open QR code link.

---

To edit notification comments on pull requests, go to your Netlify site configuration.

[github-actions]

Size Change: +280 B (+0.05%)

Total Size: 603 kB

Filename	Size	Change
./dist/__bundle-b5ef7de4-********.js	891 B	+1 B (+0.11%)
./dist/index-********.js	305 kB	+111 B (+0.04%)
./dist/index.es.js	173 B	+2 B (+1.17%)
./dist/index.umd.js	283 kB	+112 B (+0.04%)
./dist/Placeholder.error-********.js	343 B	-1 B (-0.29%)
./dist/Placeholder.loading-********.js	183 B	-1 B (-0.54%)
./dist/Placeholder.noChannels-********.js	182 B	+1 B (+0.55%)
./dist/Placeholder.noMessages-********.js	183 B	+2 B (+1.1%)
./dist/PlaceholderCommon-********.js	244 B	-2 B (-0.81%)
./dist/style.css	8.62 kB	+55 B (+0.64%)

ℹ️ View Unchanged

Filename	Size
./dist/__bundle-46d64517-********.js	4.01 kB
./dist/__bundle-7c3d40f4-********.js	21 B

_{compressed-size-action}

[liamcho]

LGTM