Add funnel origins to native subscription purchase entry points

[cmonfortep]

Task/Issue URL: https://app.asana.com/1/137249556945/project/1211391679843270/task/1216397261064720?focus=true
Tech Design URL (if applicable):

Description

Three native entry points launched the subscription purchase WebView with a null origin, so the subscription-purchase wide event recorded an empty context.name and those funnels could not be attributed.

• Duck.ai omnibar free-tier "Upgrade" pill (NativeInputManager) → funnel_duckai_android__freelabel (only reachable for free users, gated in
  NativeInputOmnibarController.updateTierTitle)
• Subscription settings "View Plans" for expired/inactive users (SubscriptionSettingsActivity) → funnel_subscriptionsettings_android__viewplans
• Restore → "Subscription not found" → "View Plans" (RestoreSubscriptionActivity) → funnel_restore_android__viewplans

Out of scope by design: switch/upgrade-only surfaces (e.g. the active-subscriber "View all plans", which routes to the plan-switch flow, not purchase) and
FE-controlled origins

Steps to test this PR

Duck.ai free-tier upgrade pill

• As a non-subscriber, open Duck.ai and tap the "Upgrade" pill in the omnibar header
• Confirm the purchase flow opens and the wide_subscription-purchase event carries context.name = funnel_duckai_android__freelabel

Subscription settings "View Plans" (expired/inactive)

• With an expired/inactive subscription, open Subscription Settings and tap "View Plans"
• Confirm the wide_subscription-purchase event carries context.name = funnel_subscriptionsettings_android__viewplans

Restore "Subscription not found"

• Start the restore flow with an account that has no subscription, then tap "View Plans" in the "Subscription not found" dialog
• Confirm the wide_subscription-purchase event carries context.name = funnel_restore_android__viewplans

UI changes

Before	After
!(Upload before screenshot)	(Upload after screenshot)

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Note

Low Risk
Analytics-only parameter wiring on existing purchase navigation; no changes to billing, auth, or subscription state logic.

Overview
Native subscription purchase flows previously launched with a null origin, so wide_subscription-purchase events had an empty context.name and those funnels could not be attributed.

This PR threads distinct funnel origin strings into three Android entry points: Duck.ai omnibar Upgrade (funnel_duckai_android__freelabel via SubscriptionPurchase), subscription settings View Plans for expired/inactive users (funnel_subscriptionsettings_android__viewplans), and restore Subscription not found → View Plans (funnel_restore_android__viewplans through an optional origin on startSubscriptionsWebViewActivity). Plan-switch and other non-purchase routes are unchanged.

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[cmonfortep]

• Add funnel origins to native subscription purchase entry points #9142 👈 (View in Graphite)
• develop

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