fix(lsp): Avoid storing Context until recompiles are possible

[phated]

Description

Problem*

Resolves

Summary*

Currently, the compiler doesn't know how to recompile code. Instead if just returns immediately. By storing a context on the LSP state, no diagnostics would be sent because the codelens handler runs first.

We need to create a new Context on each message until we can make the compiler recompile files.

Documentation

• This PR requires documentation updates when merged.

  • I will submit a noir-lang/docs PR.
  • I will request for and support Dev Rel's help in documenting this PR.

Additional Context

PR Checklist*

• I have tested the changes locally.
• I have formatted the changes with Prettier and/or cargo fmt on default settings.