[Bug]: Popover and DropdownMenu content is not positioned when the trigger is inside TooltipRoot #2993

Environment

Developement/Production OS: macOS 26.6.2
Node version: 24.16.0
Package manager: npm@11.13.0
Reka UI version: 2.11.0 (Popover also tested on 2.0.0, 2.5.0, 2.8.0, 2.10.5; DropdownMenu on 2.0.0, 2.10.5)
Vue version: 3.5.43
Nuxt version: N/A
Nuxt mode: N/A
Nuxt target: N/A
CSS framework: N/A
Client OS: macOS 26.6.2
Browser: Chrome 148

Link to minimal reproduction

https://github.com/mansurkhoja/reka-ui-nested-popper-repro

Steps to reproduce

1. npm install && npm run dev
2. Click the buttons "Popover + tooltip" and "Menu + tooltip".

Describe the bug

When a PopoverTrigger or DropdownMenuTrigger is inside a TooltipRoot (to show a tooltip on the same button), the content opens but is never positioned. Its [data-reka-popper-content-wrapper] keeps transform: translate(0px, -200%), so it is above the top of the page. The same happens with PopoverAnchor, and the order of the as-child triggers does not matter.

This is the structure from "Composing multiple primitives" in the Composition guide, only with PopoverTrigger instead of DialogTrigger:

<PopoverRoot>
  <TooltipRoot>
    <TooltipTrigger as-child>
      <PopoverTrigger>Open</PopoverTrigger>
    </TooltipTrigger>
    <TooltipPortal>…</TooltipPortal>
  </TooltipRoot>
  <PopoverPortal>…</PopoverPortal>
</PopoverRoot>

All popper-based components use the same PopperRoot context, and PopperAnchor injects the nearest one. Inside TooltipRoot this is the tooltip's PopperRoot. I logged the onAnchorChange calls: the tooltip's PopperRoot gets the button from both triggers, and the popover's PopperRoot never gets an anchor.

It works when TooltipRoot is below the popover anchor, for example in a separate component inside PopoverAnchor as-child (case 4 in the reproduction).

In Radix (React), Popover and Tooltip each create their own popper scope (createPopperScope). I would like to send a PR. Would you accept a change where each component family keeps its own popper context, so that a popper of another family between the root and the trigger does not take it?

Expected behavior

The popover or menu is positioned next to the button, like without the tooltip.