Recent tabs dropdown - Update styling to Nala

[aguscruiz]

Description

The recent tabs dropdown is looking very legacy. We need to update it to match our latest design style that match the rest of the UI. Even removing our customization code would match chromium closely, which is the intended goal

https://www.figma.com/design/tU9zrk9Ite8B06JSjHAHhn/General-dialogs-and-popups?node-id=494-17061&t=WPpvgJU5KT52CujB-1

Steps to reproduce

Actual result

Expected result

Reproduces how often

Easily reproduced

Brave version (brave://version info)

Channel information

• release (stable)
• beta
• nightly

Reproducibility

• with Brave Shields disabled
• with Brave Rewards disabled
• in the latest version of Chrome

Miscellaneous information

No response