[EuiSuggest] component has errors with TypeScript typing

[alexwizp]

We faced with difficulties while trying to use this component in typescript. This component implements the standard Input properties, but there is an error when trying to use them

At least value, placeholder, disabled props should be available

[thompsongl]

I think the issue goes a bit deeper than the component types, although they do highlight the restrictions of EuiSuggest.
Currently, EuiSuggest is not set up to be a fully controlled form component. Passing value only works by accident (types aside), but I see the case where consumers would want to control the input.
We should make the changes to allow for full control.

[github-actions]

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