Clean up unused providers for AdvancedPaste (#43433)

<!-- Enter a brief description/summary of your PR here. What does it
fix/what does it change/how was it tested (even manually, if necessary)?
-->
## Summary of the Pull Request
Clean up unused providers for AdvancedPaste

<!-- Please review the items on the PR checklist before submitting-->
## PR Checklist

- [x] Closes: #43429
- [ ] **Communication:** I've discussed this with core contributors
already. If the work hasn't been agreed, this work might be rejected
- [ ] **Tests:** Added/updated and all pass
- [ ] **Localization:** All end-user-facing strings can be localized
- [ ] **Dev docs:** Added/updated
- [ ] **New binaries:** Added on the required places
- [ ] [JSON for
signing](https://github.com/microsoft/PowerToys/blob/main/.pipelines/ESRPSigning_core.json)
for new binaries
- [ ] [WXS for
installer](https://github.com/microsoft/PowerToys/blob/main/installer/PowerToysSetup/Product.wxs)
for new binaries and localization folder
- [ ] [YML for CI
pipeline](https://github.com/microsoft/PowerToys/blob/main/.pipelines/ci/templates/build-powertoys-steps.yml)
for new test projects
- [ ] [YML for signed
pipeline](https://github.com/microsoft/PowerToys/blob/main/.pipelines/release.yml)
- [ ] **Documentation updated:** If checked, please file a pull request
on [our docs
repo](https://github.com/MicrosoftDocs/windows-uwp/tree/docs/hub/powertoys)
and link it here: #xxx

<!-- Provide a more detailed description of the PR, other things fixed,
or any additional comments/features here -->
## Detailed Description of the Pull Request / Additional comments

<!-- Describe how you validated the behavior. Add automated tests
wherever possible, but list manual validation steps taken as well -->
## Validation Steps Performed

src/settings-ui/Settings.UI/Assets/Settings/Icons/Models/Anthropic.svg

@@ -1,10 +0,0 @@
-<svg width="17" height="16" viewBox="0 0 17 16" fill="none" xmlns="http://www.w3.org/2000/svg">
-<g clip-path="url(#clip0_2092_1822)">
-<path fill-rule="evenodd" clip-rule="evenodd" d="M9.718 2.34668H12.12L16.5 13.3333H14.098L9.718 2.34668ZM4.87933 2.34668H7.39067L11.7707 13.3333H9.32133L8.426 11.026H3.84467L2.94867 13.3327H0.5L4.88 2.34801L4.87933 2.34668ZM7.634 8.98601L6.13533 5.12468L4.63667 8.98668H7.63333L7.634 8.98601Z" fill="black"/>
-</g>
-<defs>
-<clipPath id="clip0_2092_1822">
-<rect width="16" height="16" fill="white" transform="translate(0.5)"/>
-</clipPath>
-</defs>
-</svg>