UI Bug: Lop-sided padding on dropdowns, visible during hover

[jo-oikawa]

Slack: https://vscodeteam.slack.com/archives/C0AM349P43S/p1777918221919709

[hawkticehurst]

Ready for engineer hand off.

1. (New chat view): Update .new-chat-widget-container .new-chat-bottom-container .action-label to have padding 3px 3px 3px 6px
2. (Active chat view): WIP