Prepare to publish to VSCode marketplace

[noppej]

This PR is to prepare the repo so that we can publish the extension to the VSCode marketplace.

TODO

• [x] Update the version number in package.json
• [x] Add .github/FUNDING.yml for probe-rs
• [x] Update the images/probe-rs-debugger .png and .gif
• [x] Test and update package and publish scripts in package.json - Resolved: Previously blocked on VSCE issue microsoft/vsmarketplace#585
• [x] Review and update README.md
• [x] CI work
• [x] Review and update instructions and other content on probe.rs
• [x] Investigate if/how to release the binary for probe-rs-debugger as part of the extension. Conclusion: This is a whole new layer of complexity, that belongs in a follow-up PR.

Also See:

• VSCode Publishing Extensions

[noppej]

@Yatekii Can you please review, but please DO NOT merge ... I'd like to do that, so that I can test/monitor the publish script.