Media Library: don't show storage info on Atomic upload.php's uploader

[fushar]

Part of Automattic/wp-calypso#98080

Proposed changes:

This PR removes the redundant storage information on Atomic's Media Library uploader:

Before	After

(Note that it's not easy to change the admin notice into a simple paragraph, to match 172488-ghe-Automattic/wpcom. There's simply no hooks to do that...)

Other information:

• Have you written new tests for your changes, if applicable?
• Have you checked the E2E test CI results, and verified that your changes do not break them?
• Have you tested your changes on WordPress.com, if applicable (if so, you'll see a generated comment below with a script to run)?

Jetpack product discussion

Does this pull request change what data or activity we track or use?

Testing instructions:

1. Patch this PR.
2. Go to /wp-admin/upload.php.
3. Click Add New Media File
4. Observe the uploader does not show the storage info
5. Go to Editor
6. Insertan Image block and click Select Media
7. Click the Upload file tab
8. Observe that the storage info is still shown there.

[github-actions]

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[github-actions]

Code Coverage Summary

Coverage changed in 1 file.

File	Coverage	Δ%	Δ Uncovered
projects/plugins/wpcomsh/notices/storage-notices.php	0/69 (0.00%)	0.00%	3 💔

Full summary · PHP report

[arthur791004]

Tested and looks good to me!