[Bug]: ts_project with esbuild with transpiler enabled produced stale build

### What happened?

When `ts_project` is used with `transpiler` and the outputs be made available to `esbuild`, it results in stale build. The code changes are not reflected in the final compiled bundle.

What I expect: it should build correctly.

### Version

Development (host) and target OS/architectures: Rock Linux 9.1 (Blue Onyx) x86_64

Output of `bazel --version`: 6.2.0

Version of the Aspect rules, or other relevant rules from your
`WORKSPACE` or `MODULE.bazel` file:
Indicated in the provided link of the repo

Language(s) and/or frameworks involved: JavaScript, TypeScript, React

### How to reproduce

I have a repo to reproduce it here https://github.com/Exegetech/buggytsproject

### Any other information?

_No response_

Start with the linked buggytsproject reproduction and the ts_project configuration using transpiler outputs with esbuild. Run the Bazel build, change the TypeScript source, and compare the final compiled bundle. Done means source changes are reflected in the bundle rather than a stale build being reused.

Written by the indexing model from the issue text.