Set the renderOrder of the items that have to appear on top to 1

src/components/in-world-hud.js

@@ -8,6 +8,8 @@ AFRAME.registerComponent("in-world-hud", {
     this.mic = this.el.querySelector(".mic");
     this.nametag = this.el.querySelector(".username");
     this.nametag.object3DMap.text.material.depthTest = false;
+    this.nametag.object3DMap.text.renderOrder = 1;
+    this.mic.object3DMap.mesh.renderOrder = 1;
     this.data.raycaster.components.line.material.depthTest = false;
 
     const muted = this.el.sceneEl.is("muted");