Reader: Hide "Tags" chip on the Reader subscriptions feed

[wargcm]

Fixes #22952

Description

Hides the "Tags" chip in the Reader Subscriptions feed.

Testing

To test:

• Launch Jetpack and login
• Enable the Reader tags feed feature flag
• Navigate to the Reader Subscriptions feed
• 🔎 Verify the "Tags" chip is no longer shown (Note: may need to restart after changing feature flag)

Regression Notes

1. Potential unintended areas of impact
   Should be none.

2. What I did to test those areas of impact (or what existing automated tests I relied on)
   N/A

3. What automated tests I added (or what prevented me from doing so)
   N/A

PR submission checklist:

• I have completed the Regression Notes.
• I have considered adding unit tests for my changes.
• I have considered adding accessibility improvements for my changes.
• I have considered if this change warrants user-facing release notes and have added them to RELEASE-NOTES.txt if necessary.

Testing checklist:

• WordPress.com sites and self-hosted Jetpack sites.
• Portrait and landscape orientations.
• Light and dark modes.
• Fonts: Larger, smaller and bold text.
• High contrast.
• VoiceOver.
• Languages with large words or with letters/accents not frequently used in English.
• Right-to-left languages. (Even if translation isn’t complete, formatting should still respect the right-to-left layout)
• iPhone and iPad.
• Multi-tasking: Split view and Slide over. (iPad)

[wpmobilebot]

📲 You can test the changes from this Pull Request in WordPress Alpha by scanning the QR code below to install the corresponding build.

	App Name	WordPress Alpha
	Configuration	Release-Alpha
	Build Number	pr22953-1ad85c7
	Version	24.6
	Bundle ID	org.wordpress.alpha
	Commit	1ad85c7
	App Center Build	WPiOS - One-Offs #9373

Automatticians: You can use our internal self-serve MC tool to give yourself access to App Center if needed.

[wpmobilebot]

📲 You can test the changes from this Pull Request in Jetpack Alpha by scanning the QR code below to install the corresponding build.

	App Name	Jetpack Alpha
	Configuration	Release-Alpha
	Build Number	pr22953-1ad85c7
	Version	24.6
	Bundle ID	com.jetpack.alpha
	Commit	1ad85c7
	App Center Build	jetpack-installable-builds #8417

Automatticians: You can use our internal self-serve MC tool to give yourself access to App Center if needed.

[dvdchr]

LGTM!