Cookie storage creates duplicate cookies with path information on nested routes causing conflict

[Coops0]

Version

@nuxtjs/color-mode: 3.5.2
nuxt: 4.0.0-28849585.4751b054 (but this is the same on the latest stable Nuxt v3 version, the repo is on v3 too)

Reproduction Link

github repo

Steps to reproduce

1. Setup the repo above
2. Switching the theme on the main page works fine. The cookie persists, and loads properly. (delete the cookie to reset)
3. Navigate to the nested route, and change the theme. Note in your browser's cookies that it has created 2 cookies with the same name and different paths.
4. Refresh. This will cause conflicts.

What is Expected?

Cookie persistence to not retain any path information.

What is actually happening?

[Coops0]

It appears that #301 will resolve this with the ability to hardcode the path value.

[tasiotas]

I concur, currently it saves cookie per route. I doubt that was the intended behavior.