Improve all sidebar icons, reduce margin between section items ~50%, add margin above intro, fix weird hover thing

[seveibar]

Sidebar icons don't make sense (why is tutorials a CLI icon etc.). Improve all of them

/bounty $40

[algora-pbc]

💎 $40 bounty • tscircuit

Steps to solve:

1. Start working: Comment /attempt #195 with your implementation plan
2. Submit work: Create a pull request including /claim #195 in the PR body to claim the bounty
3. Receive payment: 100% of the bounty is received 2-5 days post-reward. Make sure you are eligible for payouts

❗ Important guidelines:

• Join our discord to get support from other contributors
• Links: tscircuit docs · tscircuit playground
• To claim a bounty for UI, you need to provide a short demo video of your changes in your pull request
• Do not ask to be assigned unless you've contributed before

Thank you for contributing to tscircuit/docs!

Attempt	Started (UTC)	Solution	Actions
🟢 @ArnavK-09	Oct 09, 2025, 08:16:39 PM	#196	Reward
🟢 @saish9901	Oct 09, 2025, 08:20:34 PM	#197	Reward

[algora-pbc]

🎉🎈 @ArnavK-09 has been awarded $40 by tscircuit! 🎈🎊