…g. (#3208)

The ChunkTransferTimeout was previously initiated before reading the media chunk via Media.Chunk(). This caused the timeout to incorrectly include the media read time, leading to premature timeouts for uploads with slow media sources (e.g., slow disk I/O or slow write from application).

This change refactors the upload logic to apply the chunkRetryDeadline timer after the chunk has been read from Media.Chunk() and chunkTransferTimeout timeout only applies to the network request portion of the chunk transfer. The context.WithTimeout is now created within the transferChunk function, immediately before the doUploadRequest call, ensuring its scope is limited to the network round trip.

Additionally, this commit introduces additional unit test to validate the fix and prevent regressions:

A slow media read, which should now succeed.
A slow network response, which correctly continues to fail with a timeout.
Retries work as expected within chunkRetryDeadline.
Note: Testing of storage (unit tests, emulator test, integration tests) is done and results are attached in the bug.

Internal Bug: 427490995

🤖 I have created a release *beep* *boop*
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## [0.243.0](https://togithub.com/googleapis/google-api-go-client/compare/v0.242.0...v0.243.0) (2025-07-22)


### Features

* **all:** Auto-regenerate discovery clients ([#3233](https://togithub.com/googleapis/google-api-go-client/issues/3233)) ([a269dca](https://togithub.com/googleapis/google-api-go-client/commit/a269dca39e5315e9bfc77cc05b3dbd64af9baa25))
* **all:** Auto-regenerate discovery clients ([#3235](https://togithub.com/googleapis/google-api-go-client/issues/3235)) ([b656000](https://togithub.com/googleapis/google-api-go-client/commit/b656000d19f9627de3e2817451f82c339ce4e4bb))
* **all:** Auto-regenerate discovery clients ([#3236](https://togithub.com/googleapis/google-api-go-client/issues/3236)) ([971135a](https://togithub.com/googleapis/google-api-go-client/commit/971135a0223f558b99071a3830cd73cd9f2af2e8))
* **all:** Auto-regenerate discovery clients ([#3237](https://togithub.com/googleapis/google-api-go-client/issues/3237)) ([be7e601](https://togithub.com/googleapis/google-api-go-client/commit/be7e601cede79ed6f259689857634f59c1098060))
* **all:** Auto-regenerate discovery clients ([#3239](https://togithub.com/googleapis/google-api-go-client/issues/3239)) ([b2202ca](https://togithub.com/googleapis/google-api-go-client/commit/b2202ca5711c4fd4221afc678f93ae2b550d62d0))
* **all:** Auto-regenerate discovery clients ([#3240](https://togithub.com/googleapis/google-api-go-client/issues/3240)) ([ceceb79](https://togithub.com/googleapis/google-api-go-client/commit/ceceb79c861a39d376f1576e0c40ca557f5c3293))


### Bug Fixes

* **gensupport:** Update chunk upload logic for robust timeout handling. ([#3208](https://togithub.com/googleapis/google-api-go-client/issues/3208)) ([93865aa](https://togithub.com/googleapis/google-api-go-client/commit/93865aac32e7400c2485d2e15776764110cb4df0))

---
This PR was generated with [Release Please](https://togithub.com/googleapis/release-please). See [documentation](https://togithub.com/googleapis/release-please#release-please).