You don’t “request” features or changes, per se. GNOME is not a company, and there’s no such thing as a “GNOME team”: you have multiple projects, multiple maintainers, and various teams.
Since you’re asking for something that should be provided by GNOME Shell, you’ll have to present your case to:
- the GNOME Design team
- the GNOME Shell maintainers
You’ll have to argue your case with some data on your hands, rather than your personal belief—and, more importantly, you should never argue that something “will be better for every user”, because that’s very, very seldom the truth. The data you can bring is:
- prior art
- a set of potential use cases, and how they interact with existing behaviour
- some user testing, which can be done by simply installing one of the clipboard management extensions, and then recording the impressions of users (that are not you) placed in front of them
This is pretty much what the GNOME Design team does for every feature.
If the Design team signs off this change, then you can move on to its implementation; at this point you iterate over the implementation and the design, because no design survives contact with the users intact. After a few iterations, and assuming it can be made to work, the Shell maintainers will review the code and merge the functionality.
If you don’t know how to write code, my suggestion is to start from an existing clipboard manager and figuring out how it works; or you can convince somebody to work on it for you. Do not use LLMs or genAI to generate code you don’t understand, unless you plan to just use the code locally.
For more information, you want to read the GNOME handbook.