Turn PluginsBrowser into a functional component

[WBerredo]

Changes proposed in this Pull Request

Turn PluginsBrowser into a functional component

Testing instructions

No visual change should be seen.

1. Go to /plugins page without a selected site.
2. Click on the breadcrumbs to see if it still works.
3. Search for a plugin and check if the list gets filtered.
4. Verify if clicking the Manage plugins button redirects you to /plugins/manage.
5. Verify if clicking the Upload button redirects you to /plugins/upload.
6. Select a site and redo the steps from 2 to 5.

---

Fixes #59002
Also related to #58453 by removing all lifecycle methods.

[github-actions]

Link to Calypso live: https://calypso.live?image=registry.a8c.com/calypso/app:build-22338
Link to Jetpack Cloud live: https://calypso.live?image=registry.a8c.com/calypso/app:build-22338&env=jetpack

[matticbot]

Here is how your PR affects size of JS and CSS bundles shipped to the user's browser:

Sections (~156 bytes removed 📉 [gzipped])

name     parsed_size           gzip_size
plugins      -1721 B  (-0.3%)     -156 B  (-0.1%)

Sections contain code specific for a given set of routes. Is downloaded and parsed only when a particular route is navigated to.

Legend

What is parsed and gzip size?

Parsed Size: Uncompressed size of the JS and CSS files. This much code needs to be parsed and stored in memory.
Gzip Size: Compressed size of the JS and CSS files. This much data needs to be downloaded over network.

Generated by performance advisor bot at iscalypsofastyet.com.

[cpapazoglou]

I ran many different scenarios and looks really good. I just noticed some nudges duplicating in the sidebar for biz / ecomm plans. Not sure if it's related to this PR

Also, left some minor comments.

[WBerredo]

I just noticed some nudges duplicating in the sidebar for biz / ecomm plans.

I'm researching about it now. After a rebase it is not showing duplicate to me anymore. Let me know if that still happening on your site.

[cpapazoglou]

Looks good now! No more duplicate nudges 😁! 🚢

[a8ci18n]

This Pull Request is now available for translation here: https://translate.wordpress.com/deliverables/7065385

Hi @WBerredo, could you please edit the description of this PR and add a screenshot for our translators? Ideally it'd include all of the following strings:

• Buy the best plugins
• Now you can purchase plugins right on WordPress.com to extend your website's capabilities.

Thank you in advance!

[a8ci18n]

Translation for this Pull Request has now been finished.