Context Provider Extensions REST API

[RomneyDa]

Validations

• I believe this is a way to improve. I'll try to join the Continue Discord for questions
• I'm not able to find an open issue that requests the same enhancement

Problem

Right now, custom context providers can be made to pull context from external sources into Continue
But other apps can't build extensions to push context into Continue
An awesome way to allow other apps to build extensions for Continue to allow users to inject context into Continue

Solution

Context API. Allow any app to inject context into Continue by having the core always running a local REST api (whether in extension IPC or TCP mode) that can handle a ContextItem(s) POST