PDM repeatedly queries the keyring for each configured repo when username/password not defined

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Describe the bug

I am running a keyring backend that prints to stderr when a password is not found (keyring_pass, specifically). When I do an operation that involves package repositories like update or install, I get a lot of messages about the keyring entries not existing. In a project I'm working on, I get ~24 such messages on pdm install, and ~244 on pdm update --outdated.

It seems to me that PDM should request these once, then cache the results for the rest of the operation. These extra queries have a presumably minor performance cost, and in my (admittedly probably uncommon) case disrupt the legibility of pdm's output.

I believe this is caused by 7304f8c, but have not verified that.

To reproduce

1. Use a keyring provider that logs failed lookups
2. Don't define a username/password for PyPi
3. Run pdm install

Expected Behavior

A single keyring lookup per source repository without a username or password.

Environment Information

Error: keyring/pdm-pypi-pypi is not in the password store.
Error: keyring/pdm-pypi-pypi/__token__ is not in the password store.
Error: keyring/pdm-pypi-pypi is not in the password store.
Error: keyring/pdm-pypi-pypi/__token__ is not in the password store.
PDM version:
  2.22.1
Python Interpreter:
  /home/adam/scratch/temp/.venv/bin/python (3.13)
Project Root:
  /home/adam/scratch/temp
Local Packages:

Error: keyring/pdm-pypi-pypi is not in the password store.
Error: keyring/pdm-pypi-pypi/__token__ is not in the password store.
Error: keyring/pdm-pypi-pypi is not in the password store.
Error: keyring/pdm-pypi-pypi/__token__ is not in the password store.
{
  "implementation_name": "cpython",
  "implementation_version": "3.13.1",
  "os_name": "posix",
  "platform_machine": "x86_64",
  "platform_release": "6.12.7-zen1-1-zen",
  "platform_system": "Linux",
  "platform_version": "#1 ZEN SMP PREEMPT_DYNAMIC Fri, 27 Dec 2024 14:24:32 +0000",
  "python_full_version": "3.13.1",
  "platform_python_implementation": "CPython",
  "python_version": "3.13",
  "sys_platform": "linux"
}

Verbose Command Output

No response

Additional Context

No response

Are you willing to submit a PR to fix this bug?

• Yes, I would like to submit a PR.

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Two in the project I referenced for the message count, but just PyPi in most projects. I still get quite a lot of messages in projects with just PyPi.