bug(CdkMenu): Using keyboard and mouse to open sub-menus will not close previous sub menus and will crash the browser

### Is this a regression?

- [ ] Yes, this behavior used to work in the previous version

### The previous version in which this bug was not present was

_No response_

### Description

Mixing keyboard navigation and mouse to open nested menus opens multiple nested menus (without closing previous ones) and eventually crashes the browser.

### Reproduction

StackBlitz link: https://stackblitz.com/edit/stackblitz-starters-vcre5b?file=src%2Fmain.ts
Steps to reproduce:
1. click the menu trigger button to open the first menu
2. hover with the mouse on the first menu item to open a sub-menu
3. press the down key (will highlight the 2nd menu item) and then "right" key to open the second sub-menu

To crash the browser:
4. hover the mouse on the first sub-menu that is open

### Expected Behavior

The first sub-menu will close once a 2nd one is opened.

### Actual Behavior

First sub-menu remains open when the 2nd one appears on top

### Environment

- Angular: 17.2
- CDK/Material: 17.2
- Browser(s): Chrome/Edge
- Operating System (e.g. Windows, macOS, Ubuntu): Windows 11

Start with the linked StackBlitz reproduction and inspect the CdkMenu keyboard and mouse navigation behavior described in steps 1–4. Confirm that opening the second sub-menu closes the first, and that hovering the open sub-menu no longer crashes Chrome or Edge; the report names no repository files or tests.

Written by the indexing model from the issue text.