[Bug][UI/UX] Restore egg/tm move and passive icons when using filters in Pokédex

[Wlowscha]

Why am I making these changes?

As reported on Discord, icons that indicate egg or tm moves ir passives while filtering are not showing up.

What are the changes from a developer perspective?

Code to turn the icons visible when needed had not been included after the refactoring in #5400, it is added now.

Screenshots/Videos

Checklist

• I'm using beta as my base branch
• There is no overlap with another PR?
• The PR is self-contained and cannot be split into smaller PRs?
• Have I provided a clear explanation of the changes?
• Have I tested the changes manually?
• Are all unit tests still passing? (npm run test)
  • Have I created new automated tests (npm run create-test) or updated existing tests related to the PR's changes?
• Have I provided screenshots/videos of the changes (if applicable)?
  • Have I made sure that any UI change works for both UI themes (default and legacy)?