chore: add bun run check to build instructions

[lambdakilo]

Summary

updated readme and pr template to contain typescript check and reorder format to come before linting, so that easier formats are done before more rigorous linting is done.

Related issue

Closes #17

Changes made

• readme and pr template. made more ergonomic formatting to pr template but id like comments on whether or not those changes are good or not

Author checklist

• Matches the spec
• bun run test - all tests pass
• bun run format - code has been formatted
• bun run lint - no eslint errors
• bun run build - build succeeds
• I tested the relevant changes manually

Reviewer manual testing checklist

• read changes thorhoughly in the changed files and check if they make sense

[Copilot]

Pull request overview

Updates contributor-facing documentation to include bun run check in the recommended pre-PR checks and to reorder checks so formatting runs before more stringent linting/check steps.

Changes:

• Added a README “Build / Run / Checks” section with Bun install/run commands and a suggested pre-PR check order (including bun run check).
• Updated the PR template checklist to include bun run check and reordered checklist items to match the recommended workflow.

Reviewed changes

Copilot reviewed 2 out of 2 changed files in this pull request and generated 2 comments.

File	Description
README.md	Documents Bun-based install/run steps and a pre-PR check sequence including bun run check.
.github/pull_request_template.md	Adjusts the author checklist to include bun run check and reorders items for a smoother workflow.

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