fix(tui): Prevent out-of-order project.sync() responses from overwriting state with stale data.

[CarloWood]

Issue for this PR

Closes #22450

Type of change

• Bug fix
• New feature
• Refactor / code improvement
• Documentation

What does this PR do?

If results from project.sync() arrive out of order, only keep the most recent one.

How did you verify your code works?

I had a 100% reproducible case where the race occurred and using the stale instance did break things for me. I added extensive debug output to determine exactly what was the root cause.
After applying this patch everything worked again as expected.

Checklist

• I have tested my changes locally
• I have not included unrelated changes in this PR

[github-actions]

Hey! Your PR title Prevent out-of-order project.sync() responses from overwriting state with stale data. doesn't follow conventional commit format.

Please update it to start with one of:

• feat: or feat(scope): new feature
• fix: or fix(scope): bug fix
• docs: or docs(scope): documentation changes
• chore: or chore(scope): maintenance tasks
• refactor: or refactor(scope): code refactoring
• test: or test(scope): adding or updating tests

Where scope is the package name (e.g., app, desktop, opencode).

See CONTRIBUTING.md for details.