fix(eid-wallet): wait for cold-start deep links before authentication

[Sahil2004]

Description of change

Prevent the splash biometric flow from routing to /main before the initial Tauri deep link has been discovered. The root layout now exposes an initialization promise, resolves it after deep-link setup finishes (including failure), and the splash awaits it before checking pendingDeepLink.

This fixes the timing-dependent regression related to #1048 / #1078: completing biometric authentication quickly could skip the consent screen, while completing it slowly worked.

Type of change

• Fix

How the change has been tested

• pnpm check in infrastructure/eid-wallet (0 errors; 5 pre-existing Svelte warnings)
• git diff --check

Change checklist

• Cold-start deep-link discovery completes before splash authentication chooses a route
• Deep-link initialization failures do not leave the splash waiting indefinitely
• Unrelated generated-project and local Firebase files are excluded

[coderabbitai]

Important

• 🔍 Trigger review

This repository does not receive automatic reviews because it has fewer than 10 stars.

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Configuration used: defaults

Review profile: CHILL

Plan: Advanced

Run ID: 88c40da2-be10-4428-b1bb-cad661f2eb69

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