[BD-46] refactor: refactoring Pagination component

[peterkulko]

Description

Refactors Pagination component to fix its style and API issues (and to improve it overall to ease maintenance).

Merge Checklist

• If your update includes visual changes, have they been reviewed by a designer? Send them a link to the Netlify deploy preview, if applicable.
• Does your change adhere to the documented style conventions?
• Do any prop types have missing descriptions in the Props API tables in the documentation site (check deploy preview)?
• Were your changes tested using all available themes (see theme switcher in the header of the deploy preview, under the "Settings" icon)?
• Were your changes tested in the example app?
• Is there adequate test coverage for your changes?
• Consider whether this change needs to reviewed/QA'ed for accessibility (a11y). If so, please add wittjeff and adamstankiewicz as reviewers on this PR.

Post-merge Checklist

• Verify your changes were released to NPM at the expected version.
• If you'd like, share your contribution in #show-and-tell.
• 🎉 🙌 Celebrate! Thanks for your contribution.

[openedx-webhooks]

Thanks for the pull request, @PKulkoRaccoonGang!

When this pull request is ready, tag your edX technical lead.

[peterkulko]

OLD PR: #1911

[codecov]

Codecov Report

Attention: 2 lines in your changes are missing coverage. Please review.

Comparison is base (47e4379) 92.82% compared to head (ba7deae) 92.89%.
Report is 35 commits behind head on release/chip-searchfield-pagination.

Files	Patch %	Lines
src/Pagination/PaginationContext.jsx	97.05%	2 Missing ⚠️

Additional details and impacted files

@@                           Coverage Diff                           @@
##           release/chip-searchfield-pagination    #2837      +/-   ##
=======================================================================
+ Coverage                                92.82%   92.89%   +0.06%     
=======================================================================
  Files                                      235      246      +11     
  Lines                                     4237     4276      +39     
  Branches                                  1029     1032       +3     
=======================================================================
+ Hits                                      3933     3972      +39     
  Misses                                     300      300              
  Partials                                     4        4              

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[adamstankiewicz]

Solid refactor and improvements to the Pagination component. This will be solving a long-standing style bug with our Enterprise MFE's dynamic theming solution, too :) 💯