Dev: Update action menu behavior for Deleted Projects (Snapshots & Drafts)

### Dependency

- Related Design Issue: #3132
This development issue is blocked until the related design issue is finalized and approved.

### Overview

Implement the updated action menu behavior for Deleted Projects as defined in Design Issue #3132.
Development should follow the final approved Figma designs and stakeholder-approved behavior.

### Action Items

- [ ] Assign yourself to the development issue.
- [ ] Move the development issue from the Prioritized Backlog to In Progress.
- [ ] [ADD DEVELOPER ACTION ITEMS]
- [ ] Create a PR, if applicable.
- [ ] Create a new slide (or edit one if it already exists) in staging and add the before and after images
- [ ] Once the PR has been approved, use it to close this issue. If there is no PR is associated with this issue, close this issue after lead signoff.

### Resources/Instructions
- Design details: Final approved comment:
- Design mockups: [link to Ready for Dev section in the related Figma page]

#### Staging and Release decks
- [Staging Deck](https://docs.google.com/presentation/d/1crZ3IxqA4hAu3qzD7ns93Ieuqjwh6wyEtuX_46cP-fg/)
- [Staging slide, 3217](https://docs.google.com/presentation/d/1crZ3IxqA4hAu3qzD7ns93Ieuqjwh6wyEtuX_46cP-fg/edit?slide=id.g3e31f6817d5_3_7#slide=id.g3e31f6817d5_3_7)
- Release Deck
- [2025-MM-DD Release deck, slide ISSUE NUMBER]

Start with related design issue #3132 and its final approved comment and Figma Ready for Dev section; development is blocked until those designs and behavior are approved. No source file or test is named, so identify the action-menu entry point after the design is finalized. Done means the Deleted Projects menu matches the approved behavior, with before-and-after images added to staging slide 3217 and a PR or lead signoff.

Written by the indexing model from the issue text.