HACK Week: Enable troubleshooting for users authenticated with site credentials

[itsmeichigo]

Part of WOOMOB-1856

Description

This PR updates the troubleshooting tool to extend its availability for users authenticated with site credentials. The check for WPCom access is omitted for these users.

In a subsequent PR I'll add more checks to give more useful information for HEs.

Test Steps

• Log in to a test store with site credentials.
• Navigate to Menu tab > Settings and confirm that Troubleshoot Connection is available in the Configure section.
• Tap the entry point and confirm that the check for WPCom is omitted.
• Regression check: Repeat the steps by logging in to a self-hosted store with a connected WPCom account.
• Confirm that the entry point is available in Settings and the screen shows the WPCom check.

Screenshots

Simulator.Screen.Recording.-.iPhone.17.-.2025-12-08.at.17.10.09.mov

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• I have considered if this change warrants user-facing release notes and have added them to RELEASE-NOTES.txt if necessary.

[wpmobilebot]

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

	App Name	WooCommerce iOS Prototype
	Build Number	pr16441-3b6e121
	Version	23.8
	Bundle ID	com.automattic.alpha.woocommerce
	Commit	3b6e121
	Installation URL	4rrk21589i7u0

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

[RafaelKayumov]

LGTM. Checked settings after logging in with store credentials. Now I can see the connectivity option there.