feat(client): add gamepad controller support

[RZDESIGN]

Summary

• add merged hardware, virtual, and gamepad input handling so controller state coexists cleanly with existing desktop and mobile paths
• add right-stick camera look plus a shared invert-vertical-look setting exposed through the bridge and HytopiaUI
• fix the left-stick strafe direction and avoid emitting unrelated renderer/settings updates when invert look changes

Test plan

• Connect a standard gamepad and verify left stick movement, including correct left/right strafing, in the game camera
• Verify right stick camera look and sprint/button mappings behave as expected alongside keyboard, mouse, and mobile-style virtual input
• Toggle invert look through the bridge or hytopia.setInvertVerticalLook() and confirm mouse, touch, and controller vertical look all flip together
• npm run build currently fails on pre-existing TypeScript errors in unrelated client files such as Entity.ts, GLTFManager.ts, NetworkManager.ts, and heartbeat.ts

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