[CI][JS] TypeScript: Compilation failed on yarn build for several CI jobs

[raulcd]

Describe the bug, including details regarding any error messages, version, and platform.

The following jobs:

• verify-rc-source-js-linux-almalinux-8-amd64
• verify-rc-source-js-linux-conda-latest-amd64
• verify-rc-source-js-linux-ubuntu-20.04-amd64
• verify-rc-source-js-linux-ubuntu-22.04-amd64
• verify-rc-source-js-macos-amd64
• verify-rc-source-js-macos-arm64
• test-ubuntu-22.04-docs

have been failing with the following error:

 [01:05:51] Error: Error: TypeScript: Compilation failed
    at Output.mightFinish (/arrow/js/node_modules/gulp-typescript/release/output.js:130:43)
    at Output.finish (/arrow/js/node_modules/gulp-typescript/release/output.js:122:14)
    at ProjectCompiler.inputDone (/arrow/js/node_modules/gulp-typescript/release/compiler.js:95:29)
    at CompileStream.end (/arrow/js/node_modules/gulp-typescript/release/project.js:122:31)
    at DestroyableTransform.endFn (node:internal/streams/pipeline:430:11)
    at Object.onceWrapper (node:events:631:28)
    at DestroyableTransform.emit (node:events:529:35)
    at DestroyableTransform.emit (node:domain:552:15)
    at endReadableNT (/arrow/js/node_modules/readable-stream/lib/_stream_readable.js:1010:12)
    at process.processTicksAndRejections (node:internal/process/task_queues:82:21)

    at formatError (/arrow/js/node_modules/gulp-cli/lib/versioned/^4.0.0/format-error.js:21:10)
    at Gulp.<anonymous> (/arrow/js/node_modules/gulp-cli/lib/versioned/^4.0.0/log/events.js:33:15)
    at Gulp.emit (node:events:529:35)
    at Gulp.emit (node:domain:489:12)
    at Object.error (/arrow/js/node_modules/undertaker/lib/helpers/createExtensions.js:61:10)
    at handler (/arrow/js/node_modules/now-and-later/lib/mapSeries.js:47:14)
    at f (/arrow/js/node_modules/once/once.js:25:25)
    at f (/arrow/js/node_modules/once/once.js:25:25)
    at tryCatch (/arrow/js/node_modules/bach/node_modules/async-done/index.js:24:15)
    at done (/arrow/js/node_modules/bach/node_modules/async-done/index.js:40:12)
[01:05:51] 'build:es2015:cls' errored after 28 s
[01:05:51] 'build:es2015:umd' errored after 28 s
[01:05:51] 'build:apache-arrow' errored after 28 s
[01:05:51] 'build' errored after 28 s
error Command failed with exit code 1.
info Visit https://yarnpkg.com/en/docs/cli/run for documentation about this command.

It has been failing for some days and it seems it might be related to: #39251

Component(s)

Continuous Integration, JavaScript

[raulcd]

cc @domoritz

[domoritz]

Fixed with 9885d72