fix: new lottery copy

[emilyjablonski]

Description

There isn't a ticket for this work, we just had copy edits and some tiny design changes come in from Doorway on existing work.

They aren't called out explicitly in the doc, but I've listed them below.

How Can This Be Tested/Reviewed?

• Slight string adjustments to wording and removing one date
• Removing references to Doorway / BAHFA in the strings so we don't have them in core, but adding them as custom strings we can change in Doorway
• Making the tabs lowercase
• Updating the add application modal to check the new listingLotteryStatus
• Changing the run with duplicates button back to an alert color

Author Checklist:

• [ ] Added QA notes to the issue with applicable URLs
• [x] Reviewed in a desktop view
• [x] Reviewed in a mobile view
• [x] Reviewed considering accessibility
• [x] Added tests covering the changes
• [ ] Made corresponding changes to the documentation
• [ ] Ran yarn generate:client and/or created a migration when required

Review Process:

• Read and understand the issue
• Ensure the author has added QA notes
• Review the code itself from a style point of view
• Pull the changes down locally and test that the acceptance criteria is met
• Either (1) explicitly ask a clarifying question, (2) request changes, or (3) approve the PR, even if there are very small remaining changes, if you don't need to re-review after the updates

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