Redesign the search UI for the package list

What does this MR do?

This MR redesigns the search UI for the package list. The initial thought was to create a registry shared component, but due to the complexity of the task this will be done in another MR/issue (when the registry use case is more precise)

In detail:

• We remove the custom filter
• We remove the tabs
• We add filtered-search to encompass both tabs and filter functionality

Screenshots (strongly suggested)

Screencap

NewPackageSearch

Does this MR meet the acceptance criteria?

Conformity

• Changelog entry
• [-] Documentation (if required)
• Code review guidelines
• Merge request performance guidelines
• Style guides
• [-] Database guides
• [-] Separation of EE specific content

Availability and Testing

• Review and add/update tests for this feature/bug. Consider all test levels. See the Test Planning Process.
• Tested in all supported browsers
• [-] Informed Infrastructure department of a default or new setting change, if applicable per definition of done

Security

If this MR contains changes to processing or storing of credentials or tokens, authorization and authentication methods and other items described in the security review guidelines:

• [-] Label as security and @ mention @gitlab-com/gl-security/appsec
• [-] The MR includes necessary changes to maintain consistency between UI, API, email, or other methods
• [-] Security reports checked/validated by a reviewer from the AppSec team

Related to #227349 (closed) Related to #300014 (closed)