Unexpected internal resolution failure with capability conflict handling

[big-guy]

Current Behavior

When resolving a particular configuration with capability conflicts, the build fails with an internal error:

Execution failed for task ':dependencies'. |  
Problems reading data from Binary store in /Users/bene/.gradle/.tmp/gradle14690425166727664849.bin offset 0 exists? true |  

Expected Behavior

No exception

Context (optional)

No response

Steps to Reproduce

Bisected to cdb7868 which was introduced in 8.8

Gradle version

8.8 RC1

Gradle version that used to work

8.7

Build scan URL (optional)

https://scans.gradle.com/s/sfzjpw47aqvda/tests/task/:test/details/org.gradlex.jvm.dependency.conflict.samples.SamplesTest/sample-all_build.sample?top-execution=1

Your Environment (optional)

No response

[ljacomet]

We discussed this, and I will revert the fix done in #28218 because while it fixes some broken builds, it also breaks working ones.
Capability conflict handling needs a complete solution to become more reliable.
We will start working on this right now for an upcoming release.

[ljacomet]

"Fixed" with #29249