Azure.Sdk.Tools.TestProxy_1.0.0-dev.20250620.1

Transition all remaining references to old pools (#10953)

* move ALL (except perf) templates to consume our unified `azsdk-pool`
* update all pool parameters to demands syntax (where applicable outside 1es context)
* bump everything consuming any version of ubuntu to 24.04

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Co-authored-by: Copilot <175728472+Copilot@users.noreply.github.com>
Co-authored-by: Mike Harder <mharder@microsoft.com>
Co-authored-by: Wes Haggard <weshaggard@users.noreply.github.com>