[Python] Investigate whether we can rely on `pyproject.toml` for build dependencies
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Component: Python
Type: enhancement
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Description
### Describe the enhancement requested
As pointed out here:
- https://github.com/apache/arrow/pull/49259#discussion_r2846660185
We should investigate whether we can rely on `pyproject.toml` for build dependencies.
We have several places where we manually install `setuptools`, `cython`, `wheel`, `build` and others. Could we let `pyproject.toml` deal with those instead of manually installing them? Why are those still required?
### Component(s)
Python
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