ClientDigestMiddleware doesn't work like browsers

[bdraco]

Describe the bug

Once a browser has a challange it sends the authenticate header on subsequent requests preemptively. We should work the same. This behavior is described in https://datatracker.ietf.org/doc/html/rfc7616#section-3.6

The Authorization header field MAY be
included preemptively; doing so improves server efficiency and avoids
extra round trips for authentication challenges.

To Reproduce

Try digest auth on enphase envoy. It only works on the first request because it expected preemptive auth on subsequent requests

Expected behavior

Behave like browsers by default

Logs/tracebacks

n/a

Python Version

$ python --version
n/a

aiohttp Version

$ python -m pip show aiohttp
3.12.7

multidict Version

$ python -m pip show multidict
n/a

propcache Version

$ python -m pip show propcache
n/a

yarl Version

$ python -m pip show yarl
n/a

OS

linux

Related component

Client

Additional context

No response

Code of Conduct

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