Add KeyboardAvoidingView to all screens with text inputs

[Copilot]

Several screens were missing KeyboardAvoidingView, causing the software keyboard to overlap interactive content — most critically the Sign In button on the login screen.

Affected screens

• (auth)/sign-in.tsx and (auth)/sign-up.tsx — no scroll fallback; keyboard directly obscured submit buttons
• features/settings/shared.tsx (SettingsPageShell) — covers all settings screens with text fields (bio, links, etc.)
• manage-streams.tsx — builder username input
• (tabs)/explore.tsx — search input

Pattern applied

Consistent with existing usage in create-byte.tsx, create-stream.tsx, terminal.tsx, and manage-stream/[projectId].tsx:

<KeyboardAvoidingView
  style={styles.screen}
  behavior={Platform.OS === "ios" ? "padding" : undefined}
>

Screens already using KeyboardAvoidingView were left untouched.

Original prompt

---

This section details on the original issue you should resolve

<issue_title>[Bug]: Add keyboard avoiding view to any text field</issue_title>
<issue_description>### Component

Frontend (React Native)

Bug Description

Keyboard overlays content and makes buttons harder to press.

Steps to Reproduce

1. Click text field
2. See keyboard overlay content

Expected Behavior

Necessary content remains visible when keyboard opens

Actual Behavior

Keyboard overlays buttton. eg login page.

Logs or Error Messages

Screenshots

Environment Information (Optional)

Additional Context

No response</issue_description>

<agent_instructions>Scan all pages where keyboard could overlay content</agent_instructions>

Comments on the Issue (you are @copilot in this section)

• Fixes [Bug]: Add keyboard avoiding view to any text field #134

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