[VA-11537] Add feedback button to redesigned homepage

[maxx1128]

Description

The redesigned homepage needs the feedback button to be implemented the same way as the current homepage and stay accessible.

closes #11537
relates to #11570

Testing done & Screenshots

Visual testing

QA steps

What needs to be checked to prove this works?

1. Check out this branch and do a local PR build
2. Go to http://localhost:3002/new-home-page/
3. Confirm that the feedback button is present, working, and accessible

What needs to be checked to prove it didn't break any related things?

1. Check that all other links and functionality on the new homepage still work
2. Check that the current homepage still works

What variations of circumstances (users, actions, values) need to be checked?

1. Different screen sizes
   • View the page on small and big screen sizes to confirm the button is still there and reachable
2. Screen reader usage
   • Access the button with a screen reader and confirm its functionality is still understandable and it can be used
3. Screen zooming in and out
   • Zoom in up to 400% and see the button can still be reached

Acceptance criteria

• The new homepage has the same feedback button as the existing one
• The new homepage feedback button is properly styled like the mockups
• The new homepage button is accessible

Definition of done

• Events are logged appropriately
• Documentation has been updated, if applicable
• A link has been provided to the originating GitHub issue (or connected to it via ZenHub)
• No sensitive information (i.e. PII/credentials/internal URLs/etc.) is captured in logging, hardcoded, or specs

[apisandipas]

Looking good to me.

[jilladams]

Feedback button looks good, presents same as on current live homepage, submits successfully. Merging.

[jilladams]

(I let Michelle know I went ahead here: https://dsva.slack.com/archives/C03NSH4SLQY/p1670020193844099?thread_ts=1669847109.513889&cid=C03NSH4SLQY)